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Finding the Fourth Proportional to 20,137, 30,209.82 and 7,825

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Solution

The fourth proportional to 20,137, 30,209.82 and 7,825 is: 11,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137 : 30,209.82 = 7,825 : x
  2. Step 2: Convert to fraction form
    20,137/30,209.82 = 7,825/x
  3. Step 3: Cross multiply
    20,137x = 30,209.82 × 7,825
  4. Step 4: Simplify right side
    20,137x = 236,391,841.50
  5. Step 5: Solve for x
    x = 236,391,841.50/20,137
  6. Step 6: Final answer
    x = 11,739.18

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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.