# Determine if the following are in proportion.

(a) 15, 45, 40, 120

(b) 33, 121, 9, 96

(c) 24, 28, 36, 48

(d) 32, 48, 70, 210

(e) 4, 6, 8, 12

(f) 33, 44, 75, 100

**Solution:**

We will use the concept of proportion to solve this.

(a) 15, 45, 40, 120

⇒ 15 / 45 = 1 / 3 = 1:3

⇒ 40 / 120 = 1 / 3 = 1:3

Hence, 15:45 = 40:120

Therefore 15, 45, 40, 120 are in proportion.

(b) 33, 121, 9, 96

⇒ 33 / 121 = 3 / 11 = 3:11

⇒ 9 / 96 = 3 / 32 = 3:32

Hence, 33:121 ≠ 9:96

Therefore 33, 121, 9, 96 are not in proportion.

(c) 24, 28, 36, 48

⇒ 24 / 28 = 6 / 7 = 6:7

⇒ 36 / 48 = 3 / 4 = 3:4

Hence, 24:28 ≠ 36:48

Therefore 24, 28, 36, 48 are not in proportion.

(d) 32, 48, 70, 210

⇒ 32 / 48 = 2 / 3 = 2:3

⇒ 70 / 210 = 1 / 3 = 1:3

Hence, 32:48 ≠ 70:210

Therefore 32, 48, 70, 210 are not in proportion.

(e) 4, 6, 8, 12

⇒ 4 / 6 = 2 / 3 = 2:3

⇒ 8 / 12 = 2 / 3 = 2:3

Hence 4:6 = 8:12

Therefore 4, 6, 8, 12 are in proportion.

(f) 33, 44, 75, 100

⇒ 33 / 44 = 3 / 4 = 3:4

⇒ 75 / 100 = 3 / 4 = 3:4

Hence, 33:44 = 75:100

Therefore 33, 44, 75, 100 are in a proportion.

You can also use Proportions Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.2 Question 1

## Determine if the following are in proportion. (a) 15, 45, 40, 120 (b) 33, 121, 9, 96 (c) 24, 28, 36, 48 (d) 32, 48, 70, 210 (e) 4, 6, 8, 12 (f) 33, 44, 75, 100

**Summary:**

- 15, 45, 40, 120 are in proportion
- 33, 121, 9, 96 are not in proportion
- 24, 28, 36, 48 are not in proportion
- 32, 48, 70, 210 are not in proportion
- 4, 6, 8, 12 are in proportion
- 33, 44, 75, 100 are in proportion

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