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Finding the Fourth Proportional to 8,200, 12,300 and 2,728

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Solution

The fourth proportional to 8,200, 12,300 and 2,728 is: 4,092

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 12,300 = 2,728 : x
  2. Step 2: Convert to fraction form
    8,200/12,300 = 2,728/x
  3. Step 3: Cross multiply
    8,200x = 12,300 × 2,728
  4. Step 4: Simplify right side
    8,200x = 33,554,400
  5. Step 5: Solve for x
    x = 33,554,400/8,200
  6. Step 6: Final answer
    x = 4,092

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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.