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Finding the Fourth Proportional to 11,869, 16,380.66 and 6,901

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Solution

The fourth proportional to 11,869, 16,380.66 and 6,901 is: 9,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 16,380.66 = 6,901 : x
  2. Step 2: Convert to fraction form
    11,869/16,380.66 = 6,901/x
  3. Step 3: Cross multiply
    11,869x = 16,380.66 × 6,901
  4. Step 4: Simplify right side
    11,869x = 113,042,934.66
  5. Step 5: Solve for x
    x = 113,042,934.66/11,869
  6. Step 6: Final answer
    x = 9,524.22

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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.