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Finding the Fourth Proportional to 8,231.22, 11,363.90 and 5,251.64

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Solution

The fourth proportional to 8,231.22, 11,363.90 and 5,251.64 is: 7,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.22 : 11,363.90 = 5,251.64 : x
  2. Step 2: Convert to fraction form
    8,231.22/11,363.90 = 5,251.64/x
  3. Step 3: Cross multiply
    8,231.22x = 11,363.90 × 5,251.64
  4. Step 4: Simplify right side
    8,231.22x = 59,679,028.72
  5. Step 5: Solve for x
    x = 59,679,028.72/8,231.22
  6. Step 6: Final answer
    x = 7,250.33

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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.