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Finding the Fourth Proportional to 2,288.72, 3,428.76 and 2,198

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Solution

The fourth proportional to 2,288.72, 3,428.76 and 2,198 is: 3,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.72 : 3,428.76 = 2,198 : x
  2. Step 2: Convert to fraction form
    2,288.72/3,428.76 = 2,198/x
  3. Step 3: Cross multiply
    2,288.72x = 3,428.76 × 2,198
  4. Step 4: Simplify right side
    2,288.72x = 7,536,414.48
  5. Step 5: Solve for x
    x = 7,536,414.48/2,288.72
  6. Step 6: Final answer
    x = 3,292.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.