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Finding the Fourth Proportional to 8,198.26, 11,318.26 and 5,411.86

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Solution

The fourth proportional to 8,198.26, 11,318.26 and 5,411.86 is: 7,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.26 : 11,318.26 = 5,411.86 : x
  2. Step 2: Convert to fraction form
    8,198.26/11,318.26 = 5,411.86/x
  3. Step 3: Cross multiply
    8,198.26x = 11,318.26 × 5,411.86
  4. Step 4: Simplify right side
    8,198.26x = 61,252,838.56
  5. Step 5: Solve for x
    x = 61,252,838.56/8,198.26
  6. Step 6: Final answer
    x = 7,471.44

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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.