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Finding the Fourth Proportional to 11,811.67, 17,713.26 and 3,912.73

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Solution

The fourth proportional to 11,811.67, 17,713.26 and 3,912.73 is: 5,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.67 : 17,713.26 = 3,912.73 : x
  2. Step 2: Convert to fraction form
    11,811.67/17,713.26 = 3,912.73/x
  3. Step 3: Cross multiply
    11,811.67x = 17,713.26 × 3,912.73
  4. Step 4: Simplify right side
    11,811.67x = 69,307,203.80
  5. Step 5: Solve for x
    x = 69,307,203.80/11,811.67
  6. Step 6: Final answer
    x = 5,867.69

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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.