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Finding the Fourth Proportional to 2,767.94, 4,151.90 and 819.98

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Solution

The fourth proportional to 2,767.94, 4,151.90 and 819.98 is: 1,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.94 : 4,151.90 = 819.98 : x
  2. Step 2: Convert to fraction form
    2,767.94/4,151.90 = 819.98/x
  3. Step 3: Cross multiply
    2,767.94x = 4,151.90 × 819.98
  4. Step 4: Simplify right side
    2,767.94x = 3,404,450.10
  5. Step 5: Solve for x
    x = 3,404,450.10/2,767.94
  6. Step 6: Final answer
    x = 1,229.96

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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.