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Finding the Fourth Proportional to 13,686, 20,529 and 7,838.64

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Solution

The fourth proportional to 13,686, 20,529 and 7,838.64 is: 11,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 20,529 = 7,838.64 : x
  2. Step 2: Convert to fraction form
    13,686/20,529 = 7,838.64/x
  3. Step 3: Cross multiply
    13,686x = 20,529 × 7,838.64
  4. Step 4: Simplify right side
    13,686x = 160,919,440.56
  5. Step 5: Solve for x
    x = 160,919,440.56/13,686
  6. Step 6: Final answer
    x = 11,757.96

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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.