The ratio of P : Q is 3 : 4 and the ratio of Q : R is 5 : 6. If P is equal to 9, what is the value of R?

Question: The ratio of P : Q is 3 : 4 and the ratio of Q : R is 5 : 6. If P is equal to 9, what is the value of R?
Solution:
Given that,
P : Q = 3 : 4
Q : R = 5 : 6
And P = 9

Now,
P : Q = 3 : 4
or, P/Q = 3/4
or, 9/Q = 3/4
or, 3Q = 36
or, Q = 36/3
∴ Q = 12

And,
Q : R = 5 : 6
or, Q/R = 5/6
or, 12/R = 5/6
or, 5R = 72
or, R = 72/5
∴ R = 14.4

so, the value of R is 14.4