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Finding the Fourth Proportional to 8,711.58, 13,059 and 5,582.82

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Solution

The fourth proportional to 8,711.58, 13,059 and 5,582.82 is: 8,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.58 : 13,059 = 5,582.82 : x
  2. Step 2: Convert to fraction form
    8,711.58/13,059 = 5,582.82/x
  3. Step 3: Cross multiply
    8,711.58x = 13,059 × 5,582.82
  4. Step 4: Simplify right side
    8,711.58x = 72,906,046.38
  5. Step 5: Solve for x
    x = 72,906,046.38/8,711.58
  6. Step 6: Final answer
    x = 8,368.87

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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.