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Finding the Fourth Proportional to 20,796.38, 31,194.84 and 6,945.38

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Solution

The fourth proportional to 20,796.38, 31,194.84 and 6,945.38 is: 10,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.38 : 31,194.84 = 6,945.38 : x
  2. Step 2: Convert to fraction form
    20,796.38/31,194.84 = 6,945.38/x
  3. Step 3: Cross multiply
    20,796.38x = 31,194.84 × 6,945.38
  4. Step 4: Simplify right side
    20,796.38x = 216,660,017.84
  5. Step 5: Solve for x
    x = 216,660,017.84/20,796.38
  6. Step 6: Final answer
    x = 10,418.16

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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.