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Finding the Fourth Proportional to 2,234.78, 3,085.50 and 1,997.97

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Solution

The fourth proportional to 2,234.78, 3,085.50 and 1,997.97 is: 2,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.78 : 3,085.50 = 1,997.97 : x
  2. Step 2: Convert to fraction form
    2,234.78/3,085.50 = 1,997.97/x
  3. Step 3: Cross multiply
    2,234.78x = 3,085.50 × 1,997.97
  4. Step 4: Simplify right side
    2,234.78x = 6,164,736.44
  5. Step 5: Solve for x
    x = 6,164,736.44/2,234.78
  6. Step 6: Final answer
    x = 2,758.54

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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.