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Finding the Fourth Proportional to 25,803.91, 38,711.33 and 8,286.04

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Solution

The fourth proportional to 25,803.91, 38,711.33 and 8,286.04 is: 12,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.91 : 38,711.33 = 8,286.04 : x
  2. Step 2: Convert to fraction form
    25,803.91/38,711.33 = 8,286.04/x
  3. Step 3: Cross multiply
    25,803.91x = 38,711.33 × 8,286.04
  4. Step 4: Simplify right side
    25,803.91x = 320,763,393.85
  5. Step 5: Solve for x
    x = 320,763,393.85/25,803.91
  6. Step 6: Final answer
    x = 12,430.81

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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.