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Finding the Fourth Proportional to 47,664, 71,496 and 14,832

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Solution

The fourth proportional to 47,664, 71,496 and 14,832 is: 22,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 71,496 = 14,832 : x
  2. Step 2: Convert to fraction form
    47,664/71,496 = 14,832/x
  3. Step 3: Cross multiply
    47,664x = 71,496 × 14,832
  4. Step 4: Simplify right side
    47,664x = 1,060,428,672
  5. Step 5: Solve for x
    x = 1,060,428,672/47,664
  6. Step 6: Final answer
    x = 22,248

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Why These Related Problems?

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