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Finding the Fourth Proportional to 3,642.78, 5,029.11 and 2,404.38

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Solution

The fourth proportional to 3,642.78, 5,029.11 and 2,404.38 is: 3,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.78 : 5,029.11 = 2,404.38 : x
  2. Step 2: Convert to fraction form
    3,642.78/5,029.11 = 2,404.38/x
  3. Step 3: Cross multiply
    3,642.78x = 5,029.11 × 2,404.38
  4. Step 4: Simplify right side
    3,642.78x = 12,091,891.50
  5. Step 5: Solve for x
    x = 12,091,891.50/3,642.78
  6. Step 6: Final answer
    x = 3,319.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.