Home / 2,768.10-4,151.64-819.84

Finding the Fourth Proportional to 2,768.10, 4,151.64 and 819.84

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Solution

The fourth proportional to 2,768.10, 4,151.64 and 819.84 is: 1,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.10 : 4,151.64 = 819.84 : x
  2. Step 2: Convert to fraction form
    2,768.10/4,151.64 = 819.84/x
  3. Step 3: Cross multiply
    2,768.10x = 4,151.64 × 819.84
  4. Step 4: Simplify right side
    2,768.10x = 3,403,680.54
  5. Step 5: Solve for x
    x = 3,403,680.54/2,768.10
  6. Step 6: Final answer
    x = 1,229.61

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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.