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Finding the Fourth Proportional to 8,380.92, 11,568.27 and 5,396.73

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Solution

The fourth proportional to 8,380.92, 11,568.27 and 5,396.73 is: 7,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.92 : 11,568.27 = 5,396.73 : x
  2. Step 2: Convert to fraction form
    8,380.92/11,568.27 = 5,396.73/x
  3. Step 3: Cross multiply
    8,380.92x = 11,568.27 × 5,396.73
  4. Step 4: Simplify right side
    8,380.92x = 62,430,776.26
  5. Step 5: Solve for x
    x = 62,430,776.26/8,380.92
  6. Step 6: Final answer
    x = 7,449.16

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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.