If P: Q: R = 2: 3: 4, then find frac{P}{Q}: f | vedclass

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(A) Given the ratio $P: Q: R = 2: 3: 4.$Let $P = 2k, Q = 3k, R = 4k$ for some constant $k 
eq 0.$Now,calculate the individual ratios:$\frac{P}{Q} = \

Vedclass · Accepted Answer

$8: 9: 24$

Vedclass · Answer

(A) Given the ratio $P: Q: R = 2: 3: 4.$Let $P = 2k, Q = 3k, R = 4k$ for some constant $k 
eq 0.$Now,calculate the individual ratios:$\frac{P}{Q} = \frac{2k}{3k} = \frac{2}{3}$$\frac{Q}{R} = \frac{3k}{4k} = \frac{3}{4}$$\frac{R}{P} = \frac{4k}{2k} = \frac{4}{2} = 2$Now,find the ratio $\frac{P}{Q}: \frac{Q}{R}: \frac{R}{P} = \frac{2}{3}: \frac{3}{4}: 2.$To simplify this,multiply each term by the least common multiple $(LCM)$ of the denominators $3$ and $4$,which is $12$:$\left(\frac{2}{3} 	imes 12ight): \left(\frac{3}{4} 	imes 12ight): (2 	imes 12) = 8: 9: 24.$Thus,the required ratio is $8: 9: 24.$

If $P: Q: R = 2: 3: 4,$ then find $\frac{P}{Q}: \frac{Q}{R}: \frac{R}{P} ?$

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