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Finding the Fourth Proportional to 8,543.92, 12,821.28 and 3,613.72

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Solution

The fourth proportional to 8,543.92, 12,821.28 and 3,613.72 is: 5,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.92 : 12,821.28 = 3,613.72 : x
  2. Step 2: Convert to fraction form
    8,543.92/12,821.28 = 3,613.72/x
  3. Step 3: Cross multiply
    8,543.92x = 12,821.28 × 3,613.72
  4. Step 4: Simplify right side
    8,543.92x = 46,332,515.96
  5. Step 5: Solve for x
    x = 46,332,515.96/8,543.92
  6. Step 6: Final answer
    x = 5,422.86

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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.