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Finding the Fourth Proportional to 39,839.62, 54,978.54 and 21,934.66

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Solution

The fourth proportional to 39,839.62, 54,978.54 and 21,934.66 is: 30,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,839.62 : 54,978.54 = 21,934.66 : x
  2. Step 2: Convert to fraction form
    39,839.62/54,978.54 = 21,934.66/x
  3. Step 3: Cross multiply
    39,839.62x = 54,978.54 × 21,934.66
  4. Step 4: Simplify right side
    39,839.62x = 1,205,935,582.20
  5. Step 5: Solve for x
    x = 1,205,935,582.20/39,839.62
  6. Step 6: Final answer
    x = 30,269.76

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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.