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Finding the Fourth Proportional to 3,452.61, 5,179.22 and 987.38

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Solution

The fourth proportional to 3,452.61, 5,179.22 and 987.38 is: 1,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.61 : 5,179.22 = 987.38 : x
  2. Step 2: Convert to fraction form
    3,452.61/5,179.22 = 987.38/x
  3. Step 3: Cross multiply
    3,452.61x = 5,179.22 × 987.38
  4. Step 4: Simplify right side
    3,452.61x = 5,113,858.24
  5. Step 5: Solve for x
    x = 5,113,858.24/3,452.61
  6. Step 6: Final answer
    x = 1,481.16

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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.