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Finding the Fourth Proportional to 2,934.78, 4,402.32 and 743.53

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Solution

The fourth proportional to 2,934.78, 4,402.32 and 743.53 is: 1,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.78 : 4,402.32 = 743.53 : x
  2. Step 2: Convert to fraction form
    2,934.78/4,402.32 = 743.53/x
  3. Step 3: Cross multiply
    2,934.78x = 4,402.32 × 743.53
  4. Step 4: Simplify right side
    2,934.78x = 3,273,231.26
  5. Step 5: Solve for x
    x = 3,273,231.26/2,934.78
  6. Step 6: Final answer
    x = 1,115.33

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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.