1.

A sum of money Rs.2323 is divided among P:Q:R:S in the ratio x:4:5:6 and share of P is Rs.808. Then, find the fourth proportional to (x-6), (x-4) and (3x-1).​

Answer»

Solution :-

→ Share of P = {x/(x + 4 + 5 + 6)} * 2323

→ 808 = {x/(x + 15)} * 2323

→ 808(x + 15) = 2323x

→ 808x + 808*15 = 2323x

→ 2323x - 808x = 808*15

→ 1515x = 808 * 15

→ x = (808*15/1515)

→ x = 8 .

Therefore,

→ (x - 6) = 8 - 6 = 2

→ (x - 4) = 8 - 4 = 4

→ (3x - 1) = 3*8 - 1 = 24 - 1 = 23 .

__________

Now, we have to find fourth proportional to 2,4 and 23.

Let fourth proportional to 2,4 and 23 is x .

Than,

→ 2 : 4 :: 23 : x

→ 2 * x = 4 * 23

→ x = 2 * 23

→ x = 46 (Ans.)

Hence, 46 is the Answer for this problem.



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