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Finding the Fourth Proportional to 3,797, 5,239.86 and 2,141

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Solution

The fourth proportional to 3,797, 5,239.86 and 2,141 is: 2,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797 : 5,239.86 = 2,141 : x
  2. Step 2: Convert to fraction form
    3,797/5,239.86 = 2,141/x
  3. Step 3: Cross multiply
    3,797x = 5,239.86 × 2,141
  4. Step 4: Simplify right side
    3,797x = 11,218,540.26
  5. Step 5: Solve for x
    x = 11,218,540.26/3,797
  6. Step 6: Final answer
    x = 2,954.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.