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Finding the Fourth Proportional to 2,691.14, 4,036.81 and 743.49

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Solution

The fourth proportional to 2,691.14, 4,036.81 and 743.49 is: 1,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.14 : 4,036.81 = 743.49 : x
  2. Step 2: Convert to fraction form
    2,691.14/4,036.81 = 743.49/x
  3. Step 3: Cross multiply
    2,691.14x = 4,036.81 × 743.49
  4. Step 4: Simplify right side
    2,691.14x = 3,001,327.87
  5. Step 5: Solve for x
    x = 3,001,327.87/2,691.14
  6. Step 6: Final answer
    x = 1,115.26

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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.