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Finding the Fourth Proportional to 3,858, 5,787 and 1,261.14

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Solution

The fourth proportional to 3,858, 5,787 and 1,261.14 is: 1,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,787 = 1,261.14 : x
  2. Step 2: Convert to fraction form
    3,858/5,787 = 1,261.14/x
  3. Step 3: Cross multiply
    3,858x = 5,787 × 1,261.14
  4. Step 4: Simplify right side
    3,858x = 7,298,217.18
  5. Step 5: Solve for x
    x = 7,298,217.18/3,858
  6. Step 6: Final answer
    x = 1,891.71

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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.