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Finding the Fourth Proportional to 2,661.62, 3,996.11 and 1,837.86

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Solution

The fourth proportional to 2,661.62, 3,996.11 and 1,837.86 is: 2,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.62 : 3,996.11 = 1,837.86 : x
  2. Step 2: Convert to fraction form
    2,661.62/3,996.11 = 1,837.86/x
  3. Step 3: Cross multiply
    2,661.62x = 3,996.11 × 1,837.86
  4. Step 4: Simplify right side
    2,661.62x = 7,344,290.72
  5. Step 5: Solve for x
    x = 7,344,290.72/2,661.62
  6. Step 6: Final answer
    x = 2,759.33

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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.