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Finding the Fourth Proportional to 8,379.24, 12,562.38 and 3,759

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Solution

The fourth proportional to 8,379.24, 12,562.38 and 3,759 is: 5,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.24 : 12,562.38 = 3,759 : x
  2. Step 2: Convert to fraction form
    8,379.24/12,562.38 = 3,759/x
  3. Step 3: Cross multiply
    8,379.24x = 12,562.38 × 3,759
  4. Step 4: Simplify right side
    8,379.24x = 47,221,986.42
  5. Step 5: Solve for x
    x = 47,221,986.42/8,379.24
  6. Step 6: Final answer
    x = 5,635.59

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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.