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Finding the Fourth Proportional to 25,881.26, 38,786.11 and 11,806.97

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Solution

The fourth proportional to 25,881.26, 38,786.11 and 11,806.97 is: 17,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.26 : 38,786.11 = 11,806.97 : x
  2. Step 2: Convert to fraction form
    25,881.26/38,786.11 = 11,806.97/x
  3. Step 3: Cross multiply
    25,881.26x = 38,786.11 × 11,806.97
  4. Step 4: Simplify right side
    25,881.26x = 457,946,437.19
  5. Step 5: Solve for x
    x = 457,946,437.19/25,881.26
  6. Step 6: Final answer
    x = 17,694.13

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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.