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Finding the Fourth Proportional to 3,858.03, 5,786.36 and 1,260.96

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Solution

The fourth proportional to 3,858.03, 5,786.36 and 1,260.96 is: 1,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.03 : 5,786.36 = 1,260.96 : x
  2. Step 2: Convert to fraction form
    3,858.03/5,786.36 = 1,260.96/x
  3. Step 3: Cross multiply
    3,858.03x = 5,786.36 × 1,260.96
  4. Step 4: Simplify right side
    3,858.03x = 7,296,362.20
  5. Step 5: Solve for x
    x = 7,296,362.20/3,858.03
  6. Step 6: Final answer
    x = 1,891.21

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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.