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Finding the Fourth Proportional to 3,077.97, 4,244.92 and 2,000.78

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Solution

The fourth proportional to 3,077.97, 4,244.92 and 2,000.78 is: 2,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.97 : 4,244.92 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    3,077.97/4,244.92 = 2,000.78/x
  3. Step 3: Cross multiply
    3,077.97x = 4,244.92 × 2,000.78
  4. Step 4: Simplify right side
    3,077.97x = 8,493,162.21
  5. Step 5: Solve for x
    x = 8,493,162.21/3,077.97
  6. Step 6: Final answer
    x = 2,759.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.