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Finding the Fourth Proportional to 20,757, 31,135.77 and 6,906

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Solution

The fourth proportional to 20,757, 31,135.77 and 6,906 is: 10,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757 : 31,135.77 = 6,906 : x
  2. Step 2: Convert to fraction form
    20,757/31,135.77 = 6,906/x
  3. Step 3: Cross multiply
    20,757x = 31,135.77 × 6,906
  4. Step 4: Simplify right side
    20,757x = 215,023,627.62
  5. Step 5: Solve for x
    x = 215,023,627.62/20,757
  6. Step 6: Final answer
    x = 10,359.09

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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.