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Finding the Fourth Proportional to 11,631, 17,446.44 and 6,447.84

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Solution

The fourth proportional to 11,631, 17,446.44 and 6,447.84 is: 9,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631 : 17,446.44 = 6,447.84 : x
  2. Step 2: Convert to fraction form
    11,631/17,446.44 = 6,447.84/x
  3. Step 3: Cross multiply
    11,631x = 17,446.44 × 6,447.84
  4. Step 4: Simplify right side
    11,631x = 112,491,853.69
  5. Step 5: Solve for x
    x = 112,491,853.69/11,631
  6. Step 6: Final answer
    x = 9,671.73

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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.