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Finding the Fourth Proportional to 8,206, 12,309 and 2,734

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Solution

The fourth proportional to 8,206, 12,309 and 2,734 is: 4,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 12,309 = 2,734 : x
  2. Step 2: Convert to fraction form
    8,206/12,309 = 2,734/x
  3. Step 3: Cross multiply
    8,206x = 12,309 × 2,734
  4. Step 4: Simplify right side
    8,206x = 33,652,806
  5. Step 5: Solve for x
    x = 33,652,806/8,206
  6. Step 6: Final answer
    x = 4,101

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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.