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Finding the Fourth Proportional to 12,400, 17,112 and 6,811

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Solution

The fourth proportional to 12,400, 17,112 and 6,811 is: 9,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400 : 17,112 = 6,811 : x
  2. Step 2: Convert to fraction form
    12,400/17,112 = 6,811/x
  3. Step 3: Cross multiply
    12,400x = 17,112 × 6,811
  4. Step 4: Simplify right side
    12,400x = 116,549,832
  5. Step 5: Solve for x
    x = 116,549,832/12,400
  6. Step 6: Final answer
    x = 9,399.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.