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Finding the Fourth Proportional to 3,452.55, 5,177.96 and 987.38

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Solution

The fourth proportional to 3,452.55, 5,177.96 and 987.38 is: 1,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.55 : 5,177.96 = 987.38 : x
  2. Step 2: Convert to fraction form
    3,452.55/5,177.96 = 987.38/x
  3. Step 3: Cross multiply
    3,452.55x = 5,177.96 × 987.38
  4. Step 4: Simplify right side
    3,452.55x = 5,112,614.14
  5. Step 5: Solve for x
    x = 5,112,614.14/3,452.55
  6. Step 6: Final answer
    x = 1,480.82

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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.