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Finding the Fourth Proportional to 8,157.46, 12,236.16 and 3,224.56

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Solution

The fourth proportional to 8,157.46, 12,236.16 and 3,224.56 is: 4,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.46 : 12,236.16 = 3,224.56 : x
  2. Step 2: Convert to fraction form
    8,157.46/12,236.16 = 3,224.56/x
  3. Step 3: Cross multiply
    8,157.46x = 12,236.16 × 3,224.56
  4. Step 4: Simplify right side
    8,157.46x = 39,456,232.09
  5. Step 5: Solve for x
    x = 39,456,232.09/8,157.46
  6. Step 6: Final answer
    x = 4,836.83

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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.