Three numbers are in the ratio 3 : 4 : 6, and their product equals 1944. What is the value of the largest number?

Explanation

Let the three numbers be 3x, 4x, and 6x. Their product is (3x) × (4x) × (6x) = 72x³, which equals 1944. Solving for x³ gives x³ = 1944 ÷ 72 = 27, so x = 3. Therefore, the largest number is 6x = 6 × 3 = 18.