Home / 3,012.20-4,517.78-820.64

Finding the Fourth Proportional to 3,012.20, 4,517.78 and 820.64

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Solution

The fourth proportional to 3,012.20, 4,517.78 and 820.64 is: 1,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.20 : 4,517.78 = 820.64 : x
  2. Step 2: Convert to fraction form
    3,012.20/4,517.78 = 820.64/x
  3. Step 3: Cross multiply
    3,012.20x = 4,517.78 × 820.64
  4. Step 4: Simplify right side
    3,012.20x = 3,707,470.98
  5. Step 5: Solve for x
    x = 3,707,470.98/3,012.20
  6. Step 6: Final answer
    x = 1,230.82

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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.