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Finding the Fourth Proportional to 2,481.17, 3,721.89 and 815.40

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Solution

The fourth proportional to 2,481.17, 3,721.89 and 815.40 is: 1,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.17 : 3,721.89 = 815.40 : x
  2. Step 2: Convert to fraction form
    2,481.17/3,721.89 = 815.40/x
  3. Step 3: Cross multiply
    2,481.17x = 3,721.89 × 815.40
  4. Step 4: Simplify right side
    2,481.17x = 3,034,829.11
  5. Step 5: Solve for x
    x = 3,034,829.11/2,481.17
  6. Step 6: Final answer
    x = 1,223.15

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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.