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Finding the Fourth Proportional to 8,375.32, 12,571.22 and 6,382.45

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Solution

The fourth proportional to 8,375.32, 12,571.22 and 6,382.45 is: 9,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.32 : 12,571.22 = 6,382.45 : x
  2. Step 2: Convert to fraction form
    8,375.32/12,571.22 = 6,382.45/x
  3. Step 3: Cross multiply
    8,375.32x = 12,571.22 × 6,382.45
  4. Step 4: Simplify right side
    8,375.32x = 80,235,183.09
  5. Step 5: Solve for x
    x = 80,235,183.09/8,375.32
  6. Step 6: Final answer
    x = 9,579.95

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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.