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Finding the Fourth Proportional to 2,789.57, 3,849.17 and 1,610.42

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Solution

The fourth proportional to 2,789.57, 3,849.17 and 1,610.42 is: 2,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.57 : 3,849.17 = 1,610.42 : x
  2. Step 2: Convert to fraction form
    2,789.57/3,849.17 = 1,610.42/x
  3. Step 3: Cross multiply
    2,789.57x = 3,849.17 × 1,610.42
  4. Step 4: Simplify right side
    2,789.57x = 6,198,753.05
  5. Step 5: Solve for x
    x = 6,198,753.05/2,789.57
  6. Step 6: Final answer
    x = 2,222.12

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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.