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Finding the Fourth Proportional to 8,129.44, 12,193.88 and 3,446.43

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Solution

The fourth proportional to 8,129.44, 12,193.88 and 3,446.43 is: 5,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.44 : 12,193.88 = 3,446.43 : x
  2. Step 2: Convert to fraction form
    8,129.44/12,193.88 = 3,446.43/x
  3. Step 3: Cross multiply
    8,129.44x = 12,193.88 × 3,446.43
  4. Step 4: Simplify right side
    8,129.44x = 42,025,414.65
  5. Step 5: Solve for x
    x = 42,025,414.65/8,129.44
  6. Step 6: Final answer
    x = 5,169.54

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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.