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Finding the Fourth Proportional to 38,801, 53,545.40 and 21,137

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Solution

The fourth proportional to 38,801, 53,545.40 and 21,137 is: 29,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,801 : 53,545.40 = 21,137 : x
  2. Step 2: Convert to fraction form
    38,801/53,545.40 = 21,137/x
  3. Step 3: Cross multiply
    38,801x = 53,545.40 × 21,137
  4. Step 4: Simplify right side
    38,801x = 1,131,789,119.80
  5. Step 5: Solve for x
    x = 1,131,789,119.80/38,801
  6. Step 6: Final answer
    x = 29,169.07

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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.