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Finding the Fourth Proportional to 3,452.34, 5,178.15 and 987

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Solution

The fourth proportional to 3,452.34, 5,178.15 and 987 is: 1,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.34 : 5,178.15 = 987 : x
  2. Step 2: Convert to fraction form
    3,452.34/5,178.15 = 987/x
  3. Step 3: Cross multiply
    3,452.34x = 5,178.15 × 987
  4. Step 4: Simplify right side
    3,452.34x = 5,110,834.05
  5. Step 5: Solve for x
    x = 5,110,834.05/3,452.34
  6. Step 6: Final answer
    x = 1,480.40

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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.