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Finding the Fourth Proportional to 10,379.46, 15,573.72 and 5,447.88

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Solution

The fourth proportional to 10,379.46, 15,573.72 and 5,447.88 is: 8,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.46 : 15,573.72 = 5,447.88 : x
  2. Step 2: Convert to fraction form
    10,379.46/15,573.72 = 5,447.88/x
  3. Step 3: Cross multiply
    10,379.46x = 15,573.72 × 5,447.88
  4. Step 4: Simplify right side
    10,379.46x = 84,843,757.71
  5. Step 5: Solve for x
    x = 84,843,757.71/10,379.46
  6. Step 6: Final answer
    x = 8,174.20

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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.