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Finding the Fourth Proportional to 2,019.43, 2,791.82 and 2,000.98

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Solution

The fourth proportional to 2,019.43, 2,791.82 and 2,000.98 is: 2,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.43 : 2,791.82 = 2,000.98 : x
  2. Step 2: Convert to fraction form
    2,019.43/2,791.82 = 2,000.98/x
  3. Step 3: Cross multiply
    2,019.43x = 2,791.82 × 2,000.98
  4. Step 4: Simplify right side
    2,019.43x = 5,586,375.98
  5. Step 5: Solve for x
    x = 5,586,375.98/2,019.43
  6. Step 6: Final answer
    x = 2,766.31

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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.