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Finding the Fourth Proportional to 2,934.78, 4,402.08 and 743.48

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Solution

The fourth proportional to 2,934.78, 4,402.08 and 743.48 is: 1,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.78 : 4,402.08 = 743.48 : x
  2. Step 2: Convert to fraction form
    2,934.78/4,402.08 = 743.48/x
  3. Step 3: Cross multiply
    2,934.78x = 4,402.08 × 743.48
  4. Step 4: Simplify right side
    2,934.78x = 3,272,858.44
  5. Step 5: Solve for x
    x = 3,272,858.44/2,934.78
  6. Step 6: Final answer
    x = 1,115.20

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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.