Home / 2,206.44-3,310.02-819.78

Finding the Fourth Proportional to 2,206.44, 3,310.02 and 819.78

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Solution

The fourth proportional to 2,206.44, 3,310.02 and 819.78 is: 1,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.44 : 3,310.02 = 819.78 : x
  2. Step 2: Convert to fraction form
    2,206.44/3,310.02 = 819.78/x
  3. Step 3: Cross multiply
    2,206.44x = 3,310.02 × 819.78
  4. Step 4: Simplify right side
    2,206.44x = 2,713,488.20
  5. Step 5: Solve for x
    x = 2,713,488.20/2,206.44
  6. Step 6: Final answer
    x = 1,229.80

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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.