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Finding the Fourth Proportional to 20,338, 30,507.18 and 8,026

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Solution

The fourth proportional to 20,338, 30,507.18 and 8,026 is: 12,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338 : 30,507.18 = 8,026 : x
  2. Step 2: Convert to fraction form
    20,338/30,507.18 = 8,026/x
  3. Step 3: Cross multiply
    20,338x = 30,507.18 × 8,026
  4. Step 4: Simplify right side
    20,338x = 244,850,626.68
  5. Step 5: Solve for x
    x = 244,850,626.68/20,338
  6. Step 6: Final answer
    x = 12,039.07

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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.