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Finding the Fourth Proportional to 20,529, 30,793.50 and 11,757.96

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Solution

The fourth proportional to 20,529, 30,793.50 and 11,757.96 is: 17,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529 : 30,793.50 = 11,757.96 : x
  2. Step 2: Convert to fraction form
    20,529/30,793.50 = 11,757.96/x
  3. Step 3: Cross multiply
    20,529x = 30,793.50 × 11,757.96
  4. Step 4: Simplify right side
    20,529x = 362,068,741.26
  5. Step 5: Solve for x
    x = 362,068,741.26/20,529
  6. Step 6: Final answer
    x = 17,636.94

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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.