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Finding the Fourth Proportional to 8,198.44, 11,298.11 and 5,675.87

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Solution

The fourth proportional to 8,198.44, 11,298.11 and 5,675.87 is: 7,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.44 : 11,298.11 = 5,675.87 : x
  2. Step 2: Convert to fraction form
    8,198.44/11,298.11 = 5,675.87/x
  3. Step 3: Cross multiply
    8,198.44x = 11,298.11 × 5,675.87
  4. Step 4: Simplify right side
    8,198.44x = 64,126,603.61
  5. Step 5: Solve for x
    x = 64,126,603.61/8,198.44
  6. Step 6: Final answer
    x = 7,821.81

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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.