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Finding the Fourth Proportional to 10,453.68, 14,425.11 and 6,204

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Solution

The fourth proportional to 10,453.68, 14,425.11 and 6,204 is: 8,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.68 : 14,425.11 = 6,204 : x
  2. Step 2: Convert to fraction form
    10,453.68/14,425.11 = 6,204/x
  3. Step 3: Cross multiply
    10,453.68x = 14,425.11 × 6,204
  4. Step 4: Simplify right side
    10,453.68x = 89,493,382.44
  5. Step 5: Solve for x
    x = 89,493,382.44/10,453.68
  6. Step 6: Final answer
    x = 8,560.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.