Home / 2,279.10-3,418.58-819.20

Finding the Fourth Proportional to 2,279.10, 3,418.58 and 819.20

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Solution

The fourth proportional to 2,279.10, 3,418.58 and 819.20 is: 1,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.10 : 3,418.58 = 819.20 : x
  2. Step 2: Convert to fraction form
    2,279.10/3,418.58 = 819.20/x
  3. Step 3: Cross multiply
    2,279.10x = 3,418.58 × 819.20
  4. Step 4: Simplify right side
    2,279.10x = 2,800,500.74
  5. Step 5: Solve for x
    x = 2,800,500.74/2,279.10
  6. Step 6: Final answer
    x = 1,228.77

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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.