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Finding the Fourth Proportional to 30,789.62, 42,489.87 and 16,642.43

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Solution

The fourth proportional to 30,789.62, 42,489.87 and 16,642.43 is: 22,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.62 : 42,489.87 = 16,642.43 : x
  2. Step 2: Convert to fraction form
    30,789.62/42,489.87 = 16,642.43/x
  3. Step 3: Cross multiply
    30,789.62x = 42,489.87 × 16,642.43
  4. Step 4: Simplify right side
    30,789.62x = 707,134,687.18
  5. Step 5: Solve for x
    x = 707,134,687.18/30,789.62
  6. Step 6: Final answer
    x = 22,966.66

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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.