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Finding the Fourth Proportional to 7,960.92, 11,952.18 and 5,489.61

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Solution

The fourth proportional to 7,960.92, 11,952.18 and 5,489.61 is: 8,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.92 : 11,952.18 = 5,489.61 : x
  2. Step 2: Convert to fraction form
    7,960.92/11,952.18 = 5,489.61/x
  3. Step 3: Cross multiply
    7,960.92x = 11,952.18 × 5,489.61
  4. Step 4: Simplify right side
    7,960.92x = 65,612,806.85
  5. Step 5: Solve for x
    x = 65,612,806.85/7,960.92
  6. Step 6: Final answer
    x = 8,241.86

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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.