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Finding the Fourth Proportional to 9,321.28, 13,978.20 and 3,773.56

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Solution

The fourth proportional to 9,321.28, 13,978.20 and 3,773.56 is: 5,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.28 : 13,978.20 = 3,773.56 : x
  2. Step 2: Convert to fraction form
    9,321.28/13,978.20 = 3,773.56/x
  3. Step 3: Cross multiply
    9,321.28x = 13,978.20 × 3,773.56
  4. Step 4: Simplify right side
    9,321.28x = 52,747,576.39
  5. Step 5: Solve for x
    x = 52,747,576.39/9,321.28
  6. Step 6: Final answer
    x = 5,658.83

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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.