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Finding the Fourth Proportional to 10,716.42, 14,789.97 and 6,469.90

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Solution

The fourth proportional to 10,716.42, 14,789.97 and 6,469.90 is: 8,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.42 : 14,789.97 = 6,469.90 : x
  2. Step 2: Convert to fraction form
    10,716.42/14,789.97 = 6,469.90/x
  3. Step 3: Cross multiply
    10,716.42x = 14,789.97 × 6,469.90
  4. Step 4: Simplify right side
    10,716.42x = 95,689,626.90
  5. Step 5: Solve for x
    x = 95,689,626.90/10,716.42
  6. Step 6: Final answer
    x = 8,929.25

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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.