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Finding the Fourth Proportional to 22,658.59, 31,273.85 and 12,590.49

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Solution

The fourth proportional to 22,658.59, 31,273.85 and 12,590.49 is: 17,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.59 : 31,273.85 = 12,590.49 : x
  2. Step 2: Convert to fraction form
    22,658.59/31,273.85 = 12,590.49/x
  3. Step 3: Cross multiply
    22,658.59x = 31,273.85 × 12,590.49
  4. Step 4: Simplify right side
    22,658.59x = 393,753,127.16
  5. Step 5: Solve for x
    x = 393,753,127.16/22,658.59
  6. Step 6: Final answer
    x = 17,377.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.