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Finding the Fourth Proportional to 15,847, 23,766.72 and 5,317.40

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Solution

The fourth proportional to 15,847, 23,766.72 and 5,317.40 is: 7,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847 : 23,766.72 = 5,317.40 : x
  2. Step 2: Convert to fraction form
    15,847/23,766.72 = 5,317.40/x
  3. Step 3: Cross multiply
    15,847x = 23,766.72 × 5,317.40
  4. Step 4: Simplify right side
    15,847x = 126,377,156.93
  5. Step 5: Solve for x
    x = 126,377,156.93/15,847
  6. Step 6: Final answer
    x = 7,974.83

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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.