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Finding the Fourth Proportional to 3,843.11, 5,759.91 and 1,867.13

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Solution

The fourth proportional to 3,843.11, 5,759.91 and 1,867.13 is: 2,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.11 : 5,759.91 = 1,867.13 : x
  2. Step 2: Convert to fraction form
    3,843.11/5,759.91 = 1,867.13/x
  3. Step 3: Cross multiply
    3,843.11x = 5,759.91 × 1,867.13
  4. Step 4: Simplify right side
    3,843.11x = 10,754,462.62
  5. Step 5: Solve for x
    x = 10,754,462.62/3,843.11
  6. Step 6: Final answer
    x = 2,798.37

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1.5x scale

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.