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Finding the Fourth Proportional to 8,443.70, 12,663.07 and 3,174.91

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Solution

The fourth proportional to 8,443.70, 12,663.07 and 3,174.91 is: 4,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.70 : 12,663.07 = 3,174.91 : x
  2. Step 2: Convert to fraction form
    8,443.70/12,663.07 = 3,174.91/x
  3. Step 3: Cross multiply
    8,443.70x = 12,663.07 × 3,174.91
  4. Step 4: Simplify right side
    8,443.70x = 40,204,099.18
  5. Step 5: Solve for x
    x = 40,204,099.18/8,443.70
  6. Step 6: Final answer
    x = 4,761.43

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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.