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Finding the Fourth Proportional to 11,426.92, 17,138.46 and 3,217

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Solution

The fourth proportional to 11,426.92, 17,138.46 and 3,217 is: 4,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.92 : 17,138.46 = 3,217 : x
  2. Step 2: Convert to fraction form
    11,426.92/17,138.46 = 3,217/x
  3. Step 3: Cross multiply
    11,426.92x = 17,138.46 × 3,217
  4. Step 4: Simplify right side
    11,426.92x = 55,134,425.82
  5. Step 5: Solve for x
    x = 55,134,425.82/11,426.92
  6. Step 6: Final answer
    x = 4,824.96

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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.