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Finding the Fourth Proportional to 2,687.92, 4,027.14 and 1,866.71

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Solution

The fourth proportional to 2,687.92, 4,027.14 and 1,866.71 is: 2,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.92 : 4,027.14 = 1,866.71 : x
  2. Step 2: Convert to fraction form
    2,687.92/4,027.14 = 1,866.71/x
  3. Step 3: Cross multiply
    2,687.92x = 4,027.14 × 1,866.71
  4. Step 4: Simplify right side
    2,687.92x = 7,517,512.58
  5. Step 5: Solve for x
    x = 7,517,512.58/2,687.92
  6. Step 6: Final answer
    x = 2,796.78

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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.