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Finding the Fourth Proportional to 2,716.73, 4,073.10 and 866.78

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Solution

The fourth proportional to 2,716.73, 4,073.10 and 866.78 is: 1,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.73 : 4,073.10 = 866.78 : x
  2. Step 2: Convert to fraction form
    2,716.73/4,073.10 = 866.78/x
  3. Step 3: Cross multiply
    2,716.73x = 4,073.10 × 866.78
  4. Step 4: Simplify right side
    2,716.73x = 3,530,481.62
  5. Step 5: Solve for x
    x = 3,530,481.62/2,716.73
  6. Step 6: Final answer
    x = 1,299.53

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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.