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Finding the Fourth Proportional to 2,839.97, 3,919.90 and 2,000.92

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Solution

The fourth proportional to 2,839.97, 3,919.90 and 2,000.92 is: 2,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.97 : 3,919.90 = 2,000.92 : x
  2. Step 2: Convert to fraction form
    2,839.97/3,919.90 = 2,000.92/x
  3. Step 3: Cross multiply
    2,839.97x = 3,919.90 × 2,000.92
  4. Step 4: Simplify right side
    2,839.97x = 7,843,406.31
  5. Step 5: Solve for x
    x = 7,843,406.31/2,839.97
  6. Step 6: Final answer
    x = 2,761.79

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1.5x scale

Why These Related Problems?

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