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Finding the Fourth Proportional to 13,081, 19,625.28 and 3,847

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Solution

The fourth proportional to 13,081, 19,625.28 and 3,847 is: 5,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081 : 19,625.28 = 3,847 : x
  2. Step 2: Convert to fraction form
    13,081/19,625.28 = 3,847/x
  3. Step 3: Cross multiply
    13,081x = 19,625.28 × 3,847
  4. Step 4: Simplify right side
    13,081x = 75,498,452.16
  5. Step 5: Solve for x
    x = 75,498,452.16/13,081
  6. Step 6: Final answer
    x = 5,771.61

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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.