❗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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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
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