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Finding the Fourth Proportional to 11,890, 17,835 and 3,682

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Solution

The fourth proportional to 11,890, 17,835 and 3,682 is: 5,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890 : 17,835 = 3,682 : x
  2. Step 2: Convert to fraction form
    11,890/17,835 = 3,682/x
  3. Step 3: Cross multiply
    11,890x = 17,835 × 3,682
  4. Step 4: Simplify right side
    11,890x = 65,668,470
  5. Step 5: Solve for x
    x = 65,668,470/11,890
  6. Step 6: Final answer
    x = 5,523

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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.