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Finding the Fourth Proportional to 8,129.80, 12,195.42 and 3,384.91

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Solution

The fourth proportional to 8,129.80, 12,195.42 and 3,384.91 is: 5,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.80 : 12,195.42 = 3,384.91 : x
  2. Step 2: Convert to fraction form
    8,129.80/12,195.42 = 3,384.91/x
  3. Step 3: Cross multiply
    8,129.80x = 12,195.42 × 3,384.91
  4. Step 4: Simplify right side
    8,129.80x = 41,280,399.11
  5. Step 5: Solve for x
    x = 41,280,399.11/8,129.80
  6. Step 6: Final answer
    x = 5,077.66

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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.