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Finding the Fourth Proportional to 10,625, 14,662.20 and 5,909.44

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Solution

The fourth proportional to 10,625, 14,662.20 and 5,909.44 is: 8,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625 : 14,662.20 = 5,909.44 : x
  2. Step 2: Convert to fraction form
    10,625/14,662.20 = 5,909.44/x
  3. Step 3: Cross multiply
    10,625x = 14,662.20 × 5,909.44
  4. Step 4: Simplify right side
    10,625x = 86,645,391.17
  5. Step 5: Solve for x
    x = 86,645,391.17/10,625
  6. Step 6: Final answer
    x = 8,154.86

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1.5x scale

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.