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Finding the Fourth Proportional to 2,663.76, 3,996.60 and 932.88

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Solution

The fourth proportional to 2,663.76, 3,996.60 and 932.88 is: 1,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.76 : 3,996.60 = 932.88 : x
  2. Step 2: Convert to fraction form
    2,663.76/3,996.60 = 932.88/x
  3. Step 3: Cross multiply
    2,663.76x = 3,996.60 × 932.88
  4. Step 4: Simplify right side
    2,663.76x = 3,728,348.21
  5. Step 5: Solve for x
    x = 3,728,348.21/2,663.76
  6. Step 6: Final answer
    x = 1,399.66

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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.