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Finding the Fourth Proportional to 8,162.82, 12,227.75 and 5,382.62

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Solution

The fourth proportional to 8,162.82, 12,227.75 and 5,382.62 is: 8,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.82 : 12,227.75 = 5,382.62 : x
  2. Step 2: Convert to fraction form
    8,162.82/12,227.75 = 5,382.62/x
  3. Step 3: Cross multiply
    8,162.82x = 12,227.75 × 5,382.62
  4. Step 4: Simplify right side
    8,162.82x = 65,817,331.71
  5. Step 5: Solve for x
    x = 65,817,331.71/8,162.82
  6. Step 6: Final answer
    x = 8,063.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.