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Finding the Fourth Proportional to 11,811.72, 17,713.68 and 3,912.42

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Solution

The fourth proportional to 11,811.72, 17,713.68 and 3,912.42 is: 5,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.72 : 17,713.68 = 3,912.42 : x
  2. Step 2: Convert to fraction form
    11,811.72/17,713.68 = 3,912.42/x
  3. Step 3: Cross multiply
    11,811.72x = 17,713.68 × 3,912.42
  4. Step 4: Simplify right side
    11,811.72x = 69,303,355.91
  5. Step 5: Solve for x
    x = 69,303,355.91/11,811.72
  6. Step 6: Final answer
    x = 5,867.34

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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.