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Finding the Fourth Proportional to 20,755, 31,132.77 and 6,904

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Solution

The fourth proportional to 20,755, 31,132.77 and 6,904 is: 10,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755 : 31,132.77 = 6,904 : x
  2. Step 2: Convert to fraction form
    20,755/31,132.77 = 6,904/x
  3. Step 3: Cross multiply
    20,755x = 31,132.77 × 6,904
  4. Step 4: Simplify right side
    20,755x = 214,940,644.08
  5. Step 5: Solve for x
    x = 214,940,644.08/20,755
  6. Step 6: Final answer
    x = 10,356.09

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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.