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Finding the Fourth Proportional to 11,181, 16,772.72 and 4,255.50

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Solution

The fourth proportional to 11,181, 16,772.72 and 4,255.50 is: 6,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181 : 16,772.72 = 4,255.50 : x
  2. Step 2: Convert to fraction form
    11,181/16,772.72 = 4,255.50/x
  3. Step 3: Cross multiply
    11,181x = 16,772.72 × 4,255.50
  4. Step 4: Simplify right side
    11,181x = 71,376,288.68
  5. Step 5: Solve for x
    x = 71,376,288.68/11,181
  6. Step 6: Final answer
    x = 6,383.71

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Why These Related Problems?

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