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Finding the Fourth Proportional to 8,569.92, 12,819.34 and 8,045.04

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Solution

The fourth proportional to 8,569.92, 12,819.34 and 8,045.04 is: 12,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.92 : 12,819.34 = 8,045.04 : x
  2. Step 2: Convert to fraction form
    8,569.92/12,819.34 = 8,045.04/x
  3. Step 3: Cross multiply
    8,569.92x = 12,819.34 × 8,045.04
  4. Step 4: Simplify right side
    8,569.92x = 103,132,103.07
  5. Step 5: Solve for x
    x = 103,132,103.07/8,569.92
  6. Step 6: Final answer
    x = 12,034.20

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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.