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Finding the Fourth Proportional to 11,839, 17,758.82 and 3,631

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Solution

The fourth proportional to 11,839, 17,758.82 and 3,631 is: 5,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839 : 17,758.82 = 3,631 : x
  2. Step 2: Convert to fraction form
    11,839/17,758.82 = 3,631/x
  3. Step 3: Cross multiply
    11,839x = 17,758.82 × 3,631
  4. Step 4: Simplify right side
    11,839x = 64,482,275.42
  5. Step 5: Solve for x
    x = 64,482,275.42/11,839
  6. Step 6: Final answer
    x = 5,446.60

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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.