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Finding the Fourth Proportional to 9,319.38, 13,978.95 and 3,772.68

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Solution

The fourth proportional to 9,319.38, 13,978.95 and 3,772.68 is: 5,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.38 : 13,978.95 = 3,772.68 : x
  2. Step 2: Convert to fraction form
    9,319.38/13,978.95 = 3,772.68/x
  3. Step 3: Cross multiply
    9,319.38x = 13,978.95 × 3,772.68
  4. Step 4: Simplify right side
    9,319.38x = 52,738,105.09
  5. Step 5: Solve for x
    x = 52,738,105.09/9,319.38
  6. Step 6: Final answer
    x = 5,658.97

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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.