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Finding the Fourth Proportional to 2,663.92, 3,996.04 and 815.16

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Solution

The fourth proportional to 2,663.92, 3,996.04 and 815.16 is: 1,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,996.04 = 815.16 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,996.04 = 815.16/x
  3. Step 3: Cross multiply
    2,663.92x = 3,996.04 × 815.16
  4. Step 4: Simplify right side
    2,663.92x = 3,257,411.97
  5. Step 5: Solve for x
    x = 3,257,411.97/2,663.92
  6. Step 6: Final answer
    x = 1,222.79

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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.