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Finding the Fourth Proportional to 20,986, 31,479 and 6,394

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Solution

The fourth proportional to 20,986, 31,479 and 6,394 is: 9,591

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986 : 31,479 = 6,394 : x
  2. Step 2: Convert to fraction form
    20,986/31,479 = 6,394/x
  3. Step 3: Cross multiply
    20,986x = 31,479 × 6,394
  4. Step 4: Simplify right side
    20,986x = 201,276,726
  5. Step 5: Solve for x
    x = 201,276,726/20,986
  6. Step 6: Final answer
    x = 9,591

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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.