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Finding the Fourth Proportional to 8,116, 12,174 and 2,644

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Solution

The fourth proportional to 8,116, 12,174 and 2,644 is: 3,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116 : 12,174 = 2,644 : x
  2. Step 2: Convert to fraction form
    8,116/12,174 = 2,644/x
  3. Step 3: Cross multiply
    8,116x = 12,174 × 2,644
  4. Step 4: Simplify right side
    8,116x = 32,188,056
  5. Step 5: Solve for x
    x = 32,188,056/8,116
  6. Step 6: Final answer
    x = 3,966

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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.