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Finding the Fourth Proportional to 3,380.60, 5,069.12 and 1,040.04

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Solution

The fourth proportional to 3,380.60, 5,069.12 and 1,040.04 is: 1,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.60 : 5,069.12 = 1,040.04 : x
  2. Step 2: Convert to fraction form
    3,380.60/5,069.12 = 1,040.04/x
  3. Step 3: Cross multiply
    3,380.60x = 5,069.12 × 1,040.04
  4. Step 4: Simplify right side
    3,380.60x = 5,272,082.36
  5. Step 5: Solve for x
    x = 5,272,082.36/3,380.60
  6. Step 6: Final answer
    x = 1,559.51

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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.