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Finding the Fourth Proportional to 8,387.67, 12,582.87 and 3,122.70

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Solution

The fourth proportional to 8,387.67, 12,582.87 and 3,122.70 is: 4,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.67 : 12,582.87 = 3,122.70 : x
  2. Step 2: Convert to fraction form
    8,387.67/12,582.87 = 3,122.70/x
  3. Step 3: Cross multiply
    8,387.67x = 12,582.87 × 3,122.70
  4. Step 4: Simplify right side
    8,387.67x = 39,292,528.15
  5. Step 5: Solve for x
    x = 39,292,528.15/8,387.67
  6. Step 6: Final answer
    x = 4,684.56

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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.