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Finding the Fourth Proportional to 8,375.72, 12,553.84 and 3,749

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Solution

The fourth proportional to 8,375.72, 12,553.84 and 3,749 is: 5,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.72 : 12,553.84 = 3,749 : x
  2. Step 2: Convert to fraction form
    8,375.72/12,553.84 = 3,749/x
  3. Step 3: Cross multiply
    8,375.72x = 12,553.84 × 3,749
  4. Step 4: Simplify right side
    8,375.72x = 47,064,346.16
  5. Step 5: Solve for x
    x = 47,064,346.16/8,375.72
  6. Step 6: Final answer
    x = 5,619.14

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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.