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Finding the Fourth Proportional to 22,912.64, 34,374.42 and 8,122.86

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Solution

The fourth proportional to 22,912.64, 34,374.42 and 8,122.86 is: 12,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.64 : 34,374.42 = 8,122.86 : x
  2. Step 2: Convert to fraction form
    22,912.64/34,374.42 = 8,122.86/x
  3. Step 3: Cross multiply
    22,912.64x = 34,374.42 × 8,122.86
  4. Step 4: Simplify right side
    22,912.64x = 279,218,601.24
  5. Step 5: Solve for x
    x = 279,218,601.24/22,912.64
  6. Step 6: Final answer
    x = 12,186.23

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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.