Question

❗Find the fourth proportional to:❗

[1] 3, 12, 15

[2] 1/3, 1/4, 1/5

[3] 1.5, 2.5, 4.5

[4] 9.6 kg, 7.2 kg, 28.8 kg

Answer:- [1] 60
[2] 3/20
[3] 7.5
[4] 28/3

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Answer 1

1.

• To find: 3 : 12 :: 15 : ?
• 3 : 12 :: 15 : x (say)

Then, 3/12 = 15/x

or, 1/4 = 15/x

or, x = 4 × 15

or, x = 60

Answer: 3 : 12 :: 15 : 60

2.

• To find: 1/3 : 1/4 :: 1/5 : ?
• 1/3 : 1/4 :: 1/5 : x (say)

Then, (1/3)/(1/4) = (1/5)/x

or, 4/3 = (1/5)/x

or, x = (1/5)/(4/3)

or, x = 1/5 × 3/4

or, x = 3/20

Answer: 1/3 : 1/4 :: 1/5 : 3/20

3.

• To find: 1.5 : 2.5 :: 4.5 : ?
• 1.5 : 2.5 :: 4.5 : x (say)

Then, 1.5/2.5 = 4.5/x

or, 15/25 = 4.5/x

or, 3/5 = 4.5/x

or, 0.6 = 4.5/x

or, x = 4.5/0.6

or, x = 45/6

or, x = 7.5

Answer: 1.5 : 2.5 :: 4.5 : 7.5

4.

• To find: 9.6 kg : 7.2 kg :: 28.8 kg : ? kg
• 9.6 kg : 7.2 kg :: 28.8 : x kg (say)

Then, 9.6/7.2 = 28.8/x

or, x = 28.8 × 7.2/9.6

or, x = 28.8 × 72/96

or, x = 28.8 × 3/4

or, x = 7.2 × 3

or, x = 21.6

Answer: 9.6 kg : 7.2 kg :: 28.8 kg : 21.6 kg