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Finding the Fourth Proportional to 10,586.22, 15,854.22 and 8,387.88

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Solution

The fourth proportional to 10,586.22, 15,854.22 and 8,387.88 is: 12,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.22 : 15,854.22 = 8,387.88 : x
  2. Step 2: Convert to fraction form
    10,586.22/15,854.22 = 8,387.88/x
  3. Step 3: Cross multiply
    10,586.22x = 15,854.22 × 8,387.88
  4. Step 4: Simplify right side
    10,586.22x = 132,983,294.85
  5. Step 5: Solve for x
    x = 132,983,294.85/10,586.22
  6. Step 6: Final answer
    x = 12,561.92

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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.