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Finding the Fourth Proportional to 13,860, 20,790.42 and 3,471.78

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Solution

The fourth proportional to 13,860, 20,790.42 and 3,471.78 is: 5,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,790.42 = 3,471.78 : x
  2. Step 2: Convert to fraction form
    13,860/20,790.42 = 3,471.78/x
  3. Step 3: Cross multiply
    13,860x = 20,790.42 × 3,471.78
  4. Step 4: Simplify right side
    13,860x = 72,179,764.35
  5. Step 5: Solve for x
    x = 72,179,764.35/13,860
  6. Step 6: Final answer
    x = 5,207.78

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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.