Question

if a:b =1:2,b:c= 3:2,d:c =5:6then find a:b:c:d​

Answer 1

Answer:

$a:b:c:d=9:18:12:10$

Step-by-step explanation:

Let's write down what all are given to us.

a:b = 1:2

b:c = 3:2

d:c = 5:6

Let us take a = k

$\frac{a}{b} = \frac{1}{2}$

$\frac{k}{b} = \frac{1}{2}$

$b=2k$

$\frac{b}{c} = \frac{3}{2}$

$2b=3c$

$3c=2*2k$

$c = \frac{4k}{3}$

$\frac{d}{c}= \frac{5}{6}$

$6d=5c$

$6d=5*\frac{4k}{3}$

$d = \frac{10k}{9}$

Now since we have determined the values of a,b,c and d,

$a:b:c:d = k:2k:\frac{4k}{3} :\frac{10k}{9}$

Multiplying by 9

$a:b:c:d=9:18:12:10$

HOPE IT HELPS!!