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Finding the Fourth Proportional to 13,816, 20,744.76 and 8,294.05

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Solution

The fourth proportional to 13,816, 20,744.76 and 8,294.05 is: 12,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 20,744.76 = 8,294.05 : x
  2. Step 2: Convert to fraction form
    13,816/20,744.76 = 8,294.05/x
  3. Step 3: Cross multiply
    13,816x = 20,744.76 × 8,294.05
  4. Step 4: Simplify right side
    13,816x = 172,058,076.68
  5. Step 5: Solve for x
    x = 172,058,076.68/13,816
  6. Step 6: Final answer
    x = 12,453.54

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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.