Question

2. Find the value of x in each of the
following proportions.
a) 2:3 :: x: 6
b)x: 5:: 4:2
c) 4:54: d) 1:2 :: 3 : x​

Answer 1

a)

2:3::x:6

product of extremes = product of means

6 × 2 = 3 × x

x = 12/3

x = 4.

b)

x:5::4:2

product of extremes = product of means

2 × x = 5 × 4

x = 20/2

x = 10.

d)

1:2::3:x

1 × x = 3 × 2

x = 6.