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Finding the Fourth Proportional to 3,857.07, 5,786.01 and 1,260.48

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Solution

The fourth proportional to 3,857.07, 5,786.01 and 1,260.48 is: 1,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.07 : 5,786.01 = 1,260.48 : x
  2. Step 2: Convert to fraction form
    3,857.07/5,786.01 = 1,260.48/x
  3. Step 3: Cross multiply
    3,857.07x = 5,786.01 × 1,260.48
  4. Step 4: Simplify right side
    3,857.07x = 7,293,149.88
  5. Step 5: Solve for x
    x = 7,293,149.88/3,857.07
  6. Step 6: Final answer
    x = 1,890.85

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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.