Home / 2,767.14-4,151.37-819.30

Finding the Fourth Proportional to 2,767.14, 4,151.37 and 819.30

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Solution

The fourth proportional to 2,767.14, 4,151.37 and 819.30 is: 1,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.14 : 4,151.37 = 819.30 : x
  2. Step 2: Convert to fraction form
    2,767.14/4,151.37 = 819.30/x
  3. Step 3: Cross multiply
    2,767.14x = 4,151.37 × 819.30
  4. Step 4: Simplify right side
    2,767.14x = 3,401,217.44
  5. Step 5: Solve for x
    x = 3,401,217.44/2,767.14
  6. Step 6: Final answer
    x = 1,229.15

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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.