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Finding the Fourth Proportional to 22,885, 31,581.78 and 12,949

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Solution

The fourth proportional to 22,885, 31,581.78 and 12,949 is: 17,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885 : 31,581.78 = 12,949 : x
  2. Step 2: Convert to fraction form
    22,885/31,581.78 = 12,949/x
  3. Step 3: Cross multiply
    22,885x = 31,581.78 × 12,949
  4. Step 4: Simplify right side
    22,885x = 408,952,469.22
  5. Step 5: Solve for x
    x = 408,952,469.22/22,885
  6. Step 6: Final answer
    x = 17,869.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.