Question

a:b:c = 2:3:4 then a/b:b/c:c/a

Answer 1

a/b=2/3
b/c=3/4
c/a=4/2=2
so..
a/b:b/c:c/a=2/3:3/4:2

Answer 2

Given:-

A:B:C = 2:3:4

To find:-

A/B : B/C : C/A = ??

Let:-

A/2 = B/3 = C/4 = k

Then:-

A = 2k

B = 3k and

C = 4k

Now:-

➨ A/B = 2k/3k = 2/3

➨ B/C = 3k/4k = 3/4b and

➨ C/A = 4k/2k = 2/1

Therefore:-

➨ A/B : B/C : C/A = 2/3 : 3/4 : 2/1

➨ A/B : B/C : C/A = 2/3*12 : 3/4*12 : 2/1*12

➨ A/B : B/C : C/A = 8 : 9 : 24

Hence:-

The required ratio is 8 : 9 : 24.