Question

3. If a : b = 2 : 3, b: c = 4 : 5 and c: d = 1:3, find
a: b:c: d
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Answer 1

Answer:

a:b:c:d = 8:12:15:15

Step-by-step explanation:

A:B=2:3  => A=2x,B=3x

B:C=4:5  => B=4x,C=5x

Now in above two ratios in first B has 3x value and in second B has 4x value. Take LCM of 3x, 4x. You have 12x.

To make the value of B in first ratio to 12x . Multiply first ratio with 4x and in other ratio with 3x.

A:B=8x:12x  and B:C=12x:15x

On combining these,

A:B:C=8x:12x:15x

Like wise get the value of D