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Finding the Fourth Proportional to 8,629.86, 12,949.92 and 8,083.20

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Solution

The fourth proportional to 8,629.86, 12,949.92 and 8,083.20 is: 12,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.86 : 12,949.92 = 8,083.20 : x
  2. Step 2: Convert to fraction form
    8,629.86/12,949.92 = 8,083.20/x
  3. Step 3: Cross multiply
    8,629.86x = 12,949.92 × 8,083.20
  4. Step 4: Simplify right side
    8,629.86x = 104,676,793.34
  5. Step 5: Solve for x
    x = 104,676,793.34/8,629.86
  6. Step 6: Final answer
    x = 12,129.61

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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.