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Finding the Fourth Proportional to 25,711.50, 38,504.98 and 17,791.81

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Solution

The fourth proportional to 25,711.50, 38,504.98 and 17,791.81 is: 26,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.50 : 38,504.98 = 17,791.81 : x
  2. Step 2: Convert to fraction form
    25,711.50/38,504.98 = 17,791.81/x
  3. Step 3: Cross multiply
    25,711.50x = 38,504.98 × 17,791.81
  4. Step 4: Simplify right side
    25,711.50x = 685,073,288.21
  5. Step 5: Solve for x
    x = 685,073,288.21/25,711.50
  6. Step 6: Final answer
    x = 26,644.63

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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.