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Finding the Fourth Proportional to 20,267, 30,400.34 and 6,227

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Solution

The fourth proportional to 20,267, 30,400.34 and 6,227 is: 9,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267 : 30,400.34 = 6,227 : x
  2. Step 2: Convert to fraction form
    20,267/30,400.34 = 6,227/x
  3. Step 3: Cross multiply
    20,267x = 30,400.34 × 6,227
  4. Step 4: Simplify right side
    20,267x = 189,302,917.18
  5. Step 5: Solve for x
    x = 189,302,917.18/20,267
  6. Step 6: Final answer
    x = 9,340.45

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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.