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Finding the Fourth Proportional to 11,877, 17,818.38 and 3,669

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Solution

The fourth proportional to 11,877, 17,818.38 and 3,669 is: 5,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877 : 17,818.38 = 3,669 : x
  2. Step 2: Convert to fraction form
    11,877/17,818.38 = 3,669/x
  3. Step 3: Cross multiply
    11,877x = 17,818.38 × 3,669
  4. Step 4: Simplify right side
    11,877x = 65,375,636.22
  5. Step 5: Solve for x
    x = 65,375,636.22/11,877
  6. Step 6: Final answer
    x = 5,504.39

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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.