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Finding the Fourth Proportional to 2,167, 3,247.76 and 1,126.80

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Solution

The fourth proportional to 2,167, 3,247.76 and 1,126.80 is: 1,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167 : 3,247.76 = 1,126.80 : x
  2. Step 2: Convert to fraction form
    2,167/3,247.76 = 1,126.80/x
  3. Step 3: Cross multiply
    2,167x = 3,247.76 × 1,126.80
  4. Step 4: Simplify right side
    2,167x = 3,659,575.97
  5. Step 5: Solve for x
    x = 3,659,575.97/2,167
  6. Step 6: Final answer
    x = 1,688.78

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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.