determine whether the following numbers are in proportion or not
Answers
Answer:
Check whether the following numbers are in proportion or not.
18,10,9,5
Solution:-
Product of extreme =18×5=90
Product of means =10×9=90
By cross product
Product of extreme = Product of means
The numbers 18,10,9,5 are in proportion.
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 = 3:32Hence, 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.