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Finding the Fourth Proportional to 2,664.14, 3,998.01 and 932.78

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Solution

The fourth proportional to 2,664.14, 3,998.01 and 932.78 is: 1,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.14 : 3,998.01 = 932.78 : x
  2. Step 2: Convert to fraction form
    2,664.14/3,998.01 = 932.78/x
  3. Step 3: Cross multiply
    2,664.14x = 3,998.01 × 932.78
  4. Step 4: Simplify right side
    2,664.14x = 3,729,263.77
  5. Step 5: Solve for x
    x = 3,729,263.77/2,664.14
  6. Step 6: Final answer
    x = 1,399.80

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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.