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Finding the Fourth Proportional to 11,999.44, 17,940 and 10,171

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Solution

The fourth proportional to 11,999.44, 17,940 and 10,171 is: 15,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.44 : 17,940 = 10,171 : x
  2. Step 2: Convert to fraction form
    11,999.44/17,940 = 10,171/x
  3. Step 3: Cross multiply
    11,999.44x = 17,940 × 10,171
  4. Step 4: Simplify right side
    11,999.44x = 182,467,740
  5. Step 5: Solve for x
    x = 182,467,740/11,999.44
  6. Step 6: Final answer
    x = 15,206.35

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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.