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Finding the Fourth Proportional to 2,472, 3,708 and 648

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Solution

The fourth proportional to 2,472, 3,708 and 648 is: 972

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,708 = 648 : x
  2. Step 2: Convert to fraction form
    2,472/3,708 = 648/x
  3. Step 3: Cross multiply
    2,472x = 3,708 × 648
  4. Step 4: Simplify right side
    2,472x = 2,402,784
  5. Step 5: Solve for x
    x = 2,402,784/2,472
  6. Step 6: Final answer
    x = 972

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.