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Finding the Fourth Proportional to 3,857.03, 5,786.13 and 1,259.75

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Solution

The fourth proportional to 3,857.03, 5,786.13 and 1,259.75 is: 1,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.03 : 5,786.13 = 1,259.75 : x
  2. Step 2: Convert to fraction form
    3,857.03/5,786.13 = 1,259.75/x
  3. Step 3: Cross multiply
    3,857.03x = 5,786.13 × 1,259.75
  4. Step 4: Simplify right side
    3,857.03x = 7,289,077.27
  5. Step 5: Solve for x
    x = 7,289,077.27/3,857.03
  6. Step 6: Final answer
    x = 1,889.82

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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.