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Finding the Fourth Proportional to 2,819.78, 4,229.61 and 767.78

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Solution

The fourth proportional to 2,819.78, 4,229.61 and 767.78 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.78 : 4,229.61 = 767.78 : x
  2. Step 2: Convert to fraction form
    2,819.78/4,229.61 = 767.78/x
  3. Step 3: Cross multiply
    2,819.78x = 4,229.61 × 767.78
  4. Step 4: Simplify right side
    2,819.78x = 3,247,409.97
  5. Step 5: Solve for x
    x = 3,247,409.97/2,819.78
  6. Step 6: Final answer
    x = 1,151.65

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1.5x scale

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.