Question

p,q,r,s,t and u are natural numbers sp:q=4,q:r=1:2,r:s=1:9,s:t=3,t:u=1:8,pqr:stu=?​

Answer 1

pqr : stu  ::  1 :  5832  if p:q=4,q:r=1:2,r:s=1:9,s:t=3,t:u=1:8

Step-by-step explanation:

p : q  = 4   => p = 4q

q : r = 1 : 2  => q = r/2

r : s = 1 : 9  => r = s/9  => s = 9r

s : t = 3     => s  = 3t   => t = s/3

t : u = 1 : 8   => t = u/8 => u = 8t

pqr : stu

p * q * r   =  4q * q * r  = 4q²r = 4(r/2)²r  = r³

stu = s * (s/3) (8t)  = 3s² * 8 s/3  = 8s³  = 8 (9r)³  = 5832 r³

pqr : stu  :: r³ : 5832 r³

=> pqr : stu  ::  1 :  5832

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