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Finding the Fourth Proportional to 2,691, 4,036.50 and 743.21

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Solution

The fourth proportional to 2,691, 4,036.50 and 743.21 is: 1,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691 : 4,036.50 = 743.21 : x
  2. Step 2: Convert to fraction form
    2,691/4,036.50 = 743.21/x
  3. Step 3: Cross multiply
    2,691x = 4,036.50 × 743.21
  4. Step 4: Simplify right side
    2,691x = 2,999,962.12
  5. Step 5: Solve for x
    x = 2,999,962.12/2,691
  6. Step 6: Final answer
    x = 1,114.81

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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.