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Finding the Fourth Proportional to 20,247, 30,380.22 and 11,013

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Solution

The fourth proportional to 20,247, 30,380.22 and 11,013 is: 16,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,247 : 30,380.22 = 11,013 : x
  2. Step 2: Convert to fraction form
    20,247/30,380.22 = 11,013/x
  3. Step 3: Cross multiply
    20,247x = 30,380.22 × 11,013
  4. Step 4: Simplify right side
    20,247x = 334,577,362.86
  5. Step 5: Solve for x
    x = 334,577,362.86/20,247
  6. Step 6: Final answer
    x = 16,524.79

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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.