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Finding the Fourth Proportional to 7,678, 11,517 and 2,206

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Solution

The fourth proportional to 7,678, 11,517 and 2,206 is: 3,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 11,517 = 2,206 : x
  2. Step 2: Convert to fraction form
    7,678/11,517 = 2,206/x
  3. Step 3: Cross multiply
    7,678x = 11,517 × 2,206
  4. Step 4: Simplify right side
    7,678x = 25,406,502
  5. Step 5: Solve for x
    x = 25,406,502/7,678
  6. Step 6: Final answer
    x = 3,309

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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.