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Question 63
If x is subtracted from each other of 17, 14, 22 and 18 then these numbers are in proportion, in this order. What is the mean proportion between 9x and 5x?
Solution
17-x,14-x,22-x and 18-x are the four numbers
Given numbers are in proportion and so
(17-x)(18-x)=(14-x)(22-x)
306-17x-18x+$$x^{2}$$=308-22x-14x+$$x^{2}$$
306-35x=308-36x
x=2
So the numbers are 18 and 10Â
let the mean proportion be y
18:y::y:10
y*y=180
y=$$6\sqrt{5}$$
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