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Finding the Fourth Proportional to 3,452.46, 5,178.85 and 987.64

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Solution

The fourth proportional to 3,452.46, 5,178.85 and 987.64 is: 1,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.46 : 5,178.85 = 987.64 : x
  2. Step 2: Convert to fraction form
    3,452.46/5,178.85 = 987.64/x
  3. Step 3: Cross multiply
    3,452.46x = 5,178.85 × 987.64
  4. Step 4: Simplify right side
    3,452.46x = 5,114,839.41
  5. Step 5: Solve for x
    x = 5,114,839.41/3,452.46
  6. Step 6: Final answer
    x = 1,481.51

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1.5x scale

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.