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Finding the Fourth Proportional to 8,191.34, 11,299.77 and 6,198.44

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Solution

The fourth proportional to 8,191.34, 11,299.77 and 6,198.44 is: 8,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.34 : 11,299.77 = 6,198.44 : x
  2. Step 2: Convert to fraction form
    8,191.34/11,299.77 = 6,198.44/x
  3. Step 3: Cross multiply
    8,191.34x = 11,299.77 × 6,198.44
  4. Step 4: Simplify right side
    8,191.34x = 70,040,879.60
  5. Step 5: Solve for x
    x = 70,040,879.60/8,191.34
  6. Step 6: Final answer
    x = 8,550.60

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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.