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Finding the Fourth Proportional to 25,706.10, 38,561.89 and 8,171.83

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Solution

The fourth proportional to 25,706.10, 38,561.89 and 8,171.83 is: 12,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.10 : 38,561.89 = 8,171.83 : x
  2. Step 2: Convert to fraction form
    25,706.10/38,561.89 = 8,171.83/x
  3. Step 3: Cross multiply
    25,706.10x = 38,561.89 × 8,171.83
  4. Step 4: Simplify right side
    25,706.10x = 315,121,092.72
  5. Step 5: Solve for x
    x = 315,121,092.72/25,706.10
  6. Step 6: Final answer
    x = 12,258.61

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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.