Proportional Reasoning - 1 | IT

Question 12

Does the drawing look more realistic if the ratios are proportional? Why? Why not?

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Solution
Understand the Question
  • Proportion refers to the relative size relationship between different parts of an object or figure (for example, the size of a head compared to the total height of a body).
  • A drawing appears realistic when these relative dimensions match real-world, natural ratios.
  • Incorrect ratios cause visual distortion, making figures look unnatural or cartoonish.

Step 1 · Proportional Ratios and Realism

Real-life objects and human bodies have consistent, natural proportions (such as an adult's head being approximately 18\dfrac{1}{8} of their total height).

When a drawing preserves these proportional ratios, the individual components fit together in a balanced and familiar way, making the figure appear natural and realistic.

Step 2 · Effect of Non-Proportional Ratios

When a drawing uses non-proportional ratios, certain features appear disproportionately large or small relative to the rest of the subject (e.g., an oversized head or limbs that are too long).

This mismatch deviates from what our eyes naturally expect, making the drawing look distorted, exaggerated, or cartoonish rather than realistic.

Answer

Yes, a drawing looks more realistic if the ratios are proportional because it accurately reflects natural proportions and appears balanced. If the ratios are not proportional, the drawing looks distorted and unrealistic.

Common Mistakes
  • Absolute Size vs. Proportion: Confusing the total size of the drawing with its proportions. A drawing can be very small or very large and still look realistic as long as the relative ratios between parts remain constant.
  • Equating Equal Ratios with Identical Sizes: Proportionality does not mean all parts must be equal in size, but rather that the ratio between different dimensions remains consistent with reality.

More questions in IT

Q1

Q. Which images look similar and which ones look different?

Q2

Can you check by what factors the width and height of image D change as compared to image A? Are the factors the same?

Q3

By what factor should we multiply the ratio 60:4060 : 40 (image A) to get 90:6090 : 60 (image D)?

Q4

In my school, there are 5 teachers and 170 students. The ratio of teachers to students in my school is 5:1705 : 170. Count the number of teachers and students in your school. What is the ratio of teachers to students in your school? Write it below.

Q5

Is the teacher-to-student ratio in your school proportional to the one in my school?

Q6

Measure the width and height (to the nearest cm) of the blackboard in your classroom. What is the ratio of width to height of the blackboard?

Q7

Can you draw a rectangle in your notebook whose width and height are proportional to the ratio of the blackboard?

Q8

Compare the rectangle you have drawn to those drawn by your classmates. Do they all look the same?

Q9

Context: Manjunath usually mixes 15 mL15\text{ mL} of coffee decoction with 35 mL35\text{ mL} of milk to make filter coffee (ratio 15:3515 : 35). For 'stronger' coffee, he mixes 20 mL20\text{ mL} of decoction with 30 mL30\text{ mL} of milk (ratio 20:3020 : 30).

Q. Why is this coffee stronger?

Q10

Context: Manjunath usually mixes 15 mL15\text{ mL} of coffee decoction with 35 mL35\text{ mL} of milk to make filter coffee (ratio 15:3515 : 35). For 'lighter' coffee, he mixes 10 mL10\text{ mL} of coffee and 40 mL40\text{ mL} of milk, making the ratio 10:4010 : 40.

Q. Why is this coffee lighter?

Q11

The following table shows the different ratios in which Manjunath mixes coffee decoction with milk. Write in the last column if the coffee is stronger or lighter than the regular coffee.

Q12

Does the drawing look more realistic if the ratios are proportional? Why? Why not?

Q13

Puneeth’s father went from Lucknow to Kanpur in 2 hours by riding his motorcycle at a speed of 50 km/h. If he drives at 75 km/h, how long will it take him to reach Kanpur? Can we form this problem as a proportion—

Would it take Puneeth’s father more time or less time to reach Kanpur? Think about it.

Q14

Context: The volume of a sachet is 6 mL and its price is ₹2. The volume of a small bottle is 180 mL and its price is ₹154. The ratio of the volume of a sachet to a small bottle is 6:1806 : 180. The ratio of their prices is 2:1542 : 154.

Q. Why do you think that the ratio of the prices is not proportional to the ratio of the volumes?

Q15

Context: You have 12 countable objects or counters to share between the two of you.

Q. If you divide them equally, what is the ratio of the number of counters with each of you?

Q16

Context: You have 12 countable objects or counters to share between the two of you.

Q. If your partner gets 5 counters, how many objects will you get? What is the ratio of the counters?

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