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Finding the Fourth Proportional to 8,147.82, 11,249.09 and 5,599.97

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Solution

The fourth proportional to 8,147.82, 11,249.09 and 5,599.97 is: 7,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.82 : 11,249.09 = 5,599.97 : x
  2. Step 2: Convert to fraction form
    8,147.82/11,249.09 = 5,599.97/x
  3. Step 3: Cross multiply
    8,147.82x = 11,249.09 × 5,599.97
  4. Step 4: Simplify right side
    8,147.82x = 62,994,566.53
  5. Step 5: Solve for x
    x = 62,994,566.53/8,147.82
  6. Step 6: Final answer
    x = 7,731.46

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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.