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Finding the Fourth Proportional to 8,198, 12,297 and 2,726

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Solution

The fourth proportional to 8,198, 12,297 and 2,726 is: 4,089

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198 : 12,297 = 2,726 : x
  2. Step 2: Convert to fraction form
    8,198/12,297 = 2,726/x
  3. Step 3: Cross multiply
    8,198x = 12,297 × 2,726
  4. Step 4: Simplify right side
    8,198x = 33,521,622
  5. Step 5: Solve for x
    x = 33,521,622/8,198
  6. Step 6: Final answer
    x = 4,089

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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.