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Finding the Fourth Proportional to 3,452.36, 5,178.70 and 987.53

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Solution

The fourth proportional to 3,452.36, 5,178.70 and 987.53 is: 1,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.36 : 5,178.70 = 987.53 : x
  2. Step 2: Convert to fraction form
    3,452.36/5,178.70 = 987.53/x
  3. Step 3: Cross multiply
    3,452.36x = 5,178.70 × 987.53
  4. Step 4: Simplify right side
    3,452.36x = 5,114,121.61
  5. Step 5: Solve for x
    x = 5,114,121.61/3,452.36
  6. Step 6: Final answer
    x = 1,481.34

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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.