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Finding the Fourth Proportional to 2,691.22, 4,036.88 and 743.48

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Solution

The fourth proportional to 2,691.22, 4,036.88 and 743.48 is: 1,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.22 : 4,036.88 = 743.48 : x
  2. Step 2: Convert to fraction form
    2,691.22/4,036.88 = 743.48/x
  3. Step 3: Cross multiply
    2,691.22x = 4,036.88 × 743.48
  4. Step 4: Simplify right side
    2,691.22x = 3,001,319.36
  5. Step 5: Solve for x
    x = 3,001,319.36/2,691.22
  6. Step 6: Final answer
    x = 1,115.23

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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.