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Finding the Fourth Proportional to 11,152.50, 16,729.56 and 4,227

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Solution

The fourth proportional to 11,152.50, 16,729.56 and 4,227 is: 6,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.50 : 16,729.56 = 4,227 : x
  2. Step 2: Convert to fraction form
    11,152.50/16,729.56 = 4,227/x
  3. Step 3: Cross multiply
    11,152.50x = 16,729.56 × 4,227
  4. Step 4: Simplify right side
    11,152.50x = 70,715,850.12
  5. Step 5: Solve for x
    x = 70,715,850.12/11,152.50
  6. Step 6: Final answer
    x = 6,340.81

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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.