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Finding the Fourth Proportional to 6,250.20, 9,375.30 and 5,739.90

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Solution

The fourth proportional to 6,250.20, 9,375.30 and 5,739.90 is: 8,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.20 : 9,375.30 = 5,739.90 : x
  2. Step 2: Convert to fraction form
    6,250.20/9,375.30 = 5,739.90/x
  3. Step 3: Cross multiply
    6,250.20x = 9,375.30 × 5,739.90
  4. Step 4: Simplify right side
    6,250.20x = 53,813,284.47
  5. Step 5: Solve for x
    x = 53,813,284.47/6,250.20
  6. Step 6: Final answer
    x = 8,609.85

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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.