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Finding the Fourth Proportional to 8,339.92, 11,499.88 and 5,682

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Solution

The fourth proportional to 8,339.92, 11,499.88 and 5,682 is: 7,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.92 : 11,499.88 = 5,682 : x
  2. Step 2: Convert to fraction form
    8,339.92/11,499.88 = 5,682/x
  3. Step 3: Cross multiply
    8,339.92x = 11,499.88 × 5,682
  4. Step 4: Simplify right side
    8,339.92x = 65,342,318.16
  5. Step 5: Solve for x
    x = 65,342,318.16/8,339.92
  6. Step 6: Final answer
    x = 7,834.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.