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Finding the Fourth Proportional to 13,805.82, 20,717.19 and 5,489.82

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Solution

The fourth proportional to 13,805.82, 20,717.19 and 5,489.82 is: 8,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.82 : 20,717.19 = 5,489.82 : x
  2. Step 2: Convert to fraction form
    13,805.82/20,717.19 = 5,489.82/x
  3. Step 3: Cross multiply
    13,805.82x = 20,717.19 × 5,489.82
  4. Step 4: Simplify right side
    13,805.82x = 113,733,644.01
  5. Step 5: Solve for x
    x = 113,733,644.01/13,805.82
  6. Step 6: Final answer
    x = 8,238.09

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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.