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Finding the Fourth Proportional to 20,638, 30,958.44 and 8,157.34

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Solution

The fourth proportional to 20,638, 30,958.44 and 8,157.34 is: 12,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638 : 30,958.44 = 8,157.34 : x
  2. Step 2: Convert to fraction form
    20,638/30,958.44 = 8,157.34/x
  3. Step 3: Cross multiply
    20,638x = 30,958.44 × 8,157.34
  4. Step 4: Simplify right side
    20,638x = 252,538,520.95
  5. Step 5: Solve for x
    x = 252,538,520.95/20,638
  6. Step 6: Final answer
    x = 12,236.58

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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.