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Finding the Fourth Proportional to 25,432.88, 38,149.32 and 7,902.71

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Solution

The fourth proportional to 25,432.88, 38,149.32 and 7,902.71 is: 11,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432.88 : 38,149.32 = 7,902.71 : x
  2. Step 2: Convert to fraction form
    25,432.88/38,149.32 = 7,902.71/x
  3. Step 3: Cross multiply
    25,432.88x = 38,149.32 × 7,902.71
  4. Step 4: Simplify right side
    25,432.88x = 301,482,821.91
  5. Step 5: Solve for x
    x = 301,482,821.91/25,432.88
  6. Step 6: Final answer
    x = 11,854.06

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