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Finding the Fourth Proportional to 39,650, 54,711.97 and 21,740.30

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Solution

The fourth proportional to 39,650, 54,711.97 and 21,740.30 is: 29,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,650 : 54,711.97 = 21,740.30 : x
  2. Step 2: Convert to fraction form
    39,650/54,711.97 = 21,740.30/x
  3. Step 3: Cross multiply
    39,650x = 54,711.97 × 21,740.30
  4. Step 4: Simplify right side
    39,650x = 1,189,454,641.39
  5. Step 5: Solve for x
    x = 1,189,454,641.39/39,650
  6. Step 6: Final answer
    x = 29,998.86

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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.