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Finding the Fourth Proportional to 20,123, 30,186.17 and 6,272

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Solution

The fourth proportional to 20,123, 30,186.17 and 6,272 is: 9,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123 : 30,186.17 = 6,272 : x
  2. Step 2: Convert to fraction form
    20,123/30,186.17 = 6,272/x
  3. Step 3: Cross multiply
    20,123x = 30,186.17 × 6,272
  4. Step 4: Simplify right side
    20,123x = 189,327,626.88
  5. Step 5: Solve for x
    x = 189,327,626.88/20,123
  6. Step 6: Final answer
    x = 9,408.52

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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.