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Finding the Fourth Proportional to 25,702, 38,553.68 and 8,171.83

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Solution

The fourth proportional to 25,702, 38,553.68 and 8,171.83 is: 12,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702 : 38,553.68 = 8,171.83 : x
  2. Step 2: Convert to fraction form
    25,702/38,553.68 = 8,171.83/x
  3. Step 3: Cross multiply
    25,702x = 38,553.68 × 8,171.83
  4. Step 4: Simplify right side
    25,702x = 315,054,118.83
  5. Step 5: Solve for x
    x = 315,054,118.83/25,702
  6. Step 6: Final answer
    x = 12,257.96

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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.