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Finding the Fourth Proportional to 13,843.89, 20,731.68 and 7,906.05

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Solution

The fourth proportional to 13,843.89, 20,731.68 and 7,906.05 is: 11,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.89 : 20,731.68 = 7,906.05 : x
  2. Step 2: Convert to fraction form
    13,843.89/20,731.68 = 7,906.05/x
  3. Step 3: Cross multiply
    13,843.89x = 20,731.68 × 7,906.05
  4. Step 4: Simplify right side
    13,843.89x = 163,905,698.66
  5. Step 5: Solve for x
    x = 163,905,698.66/13,843.89
  6. Step 6: Final answer
    x = 11,839.57

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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.