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Finding the Fourth Proportional to 8,569.86, 12,854.04 and 3,375.72

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Solution

The fourth proportional to 8,569.86, 12,854.04 and 3,375.72 is: 5,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.86 : 12,854.04 = 3,375.72 : x
  2. Step 2: Convert to fraction form
    8,569.86/12,854.04 = 3,375.72/x
  3. Step 3: Cross multiply
    8,569.86x = 12,854.04 × 3,375.72
  4. Step 4: Simplify right side
    8,569.86x = 43,391,639.91
  5. Step 5: Solve for x
    x = 43,391,639.91/8,569.86
  6. Step 6: Final answer
    x = 5,063.28

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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.