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Finding the Fourth Proportional to 20,806, 31,209 and 6,214

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Solution

The fourth proportional to 20,806, 31,209 and 6,214 is: 9,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 31,209 = 6,214 : x
  2. Step 2: Convert to fraction form
    20,806/31,209 = 6,214/x
  3. Step 3: Cross multiply
    20,806x = 31,209 × 6,214
  4. Step 4: Simplify right side
    20,806x = 193,932,726
  5. Step 5: Solve for x
    x = 193,932,726/20,806
  6. Step 6: Final answer
    x = 9,321

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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.