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Finding the Fourth Proportional to 5,857.41, 8,786.13 and 1,961.82

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Solution

The fourth proportional to 5,857.41, 8,786.13 and 1,961.82 is: 2,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.41 : 8,786.13 = 1,961.82 : x
  2. Step 2: Convert to fraction form
    5,857.41/8,786.13 = 1,961.82/x
  3. Step 3: Cross multiply
    5,857.41x = 8,786.13 × 1,961.82
  4. Step 4: Simplify right side
    5,857.41x = 17,236,805.56
  5. Step 5: Solve for x
    x = 17,236,805.56/5,857.41
  6. Step 6: Final answer
    x = 2,942.74

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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.