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Finding the Fourth Proportional to 31,800, 47,700 and 13,332

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Solution

The fourth proportional to 31,800, 47,700 and 13,332 is: 19,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800 : 47,700 = 13,332 : x
  2. Step 2: Convert to fraction form
    31,800/47,700 = 13,332/x
  3. Step 3: Cross multiply
    31,800x = 47,700 × 13,332
  4. Step 4: Simplify right side
    31,800x = 635,936,400
  5. Step 5: Solve for x
    x = 635,936,400/31,800
  6. Step 6: Final answer
    x = 19,998

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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.