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a) 12
b) 16
c) 17
d) 18
correct answer is: d) 18
Explanation
Let the fourth proportional be ‘x’
Then, the proportion is 5, 7 ½, 12, x
The cross-product rule is: –
(Product of extremes = Product of means)
So,
\left(5\ \times\ x\right)\ =\ \left(7_2^1\ \times\ 12\right)
\rightarrow\ 5x\ =\ \left(\frac{15}{2}\ \times\ 12\right)
\rightarrow\ 5x\ =\ 90
\rightarrow\ x\ =\ \frac{90}{5}
\rightarrow\ x\ =\ 18
\therefore The fourth proportion is: 18
Ans: 18.
