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Finding the Fourth Proportional to 28,658.39, 42,965.28 and 13,657.73

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Solution

The fourth proportional to 28,658.39, 42,965.28 and 13,657.73 is: 20,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.39 : 42,965.28 = 13,657.73 : x
  2. Step 2: Convert to fraction form
    28,658.39/42,965.28 = 13,657.73/x
  3. Step 3: Cross multiply
    28,658.39x = 42,965.28 × 13,657.73
  4. Step 4: Simplify right side
    28,658.39x = 586,807,978.79
  5. Step 5: Solve for x
    x = 586,807,978.79/28,658.39
  6. Step 6: Final answer
    x = 20,475.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.