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Finding the Fourth Proportional to 3,867.11, 5,759.93 and 3,786.11

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Solution

The fourth proportional to 3,867.11, 5,759.93 and 3,786.11 is: 5,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.11 : 5,759.93 = 3,786.11 : x
  2. Step 2: Convert to fraction form
    3,867.11/5,759.93 = 3,786.11/x
  3. Step 3: Cross multiply
    3,867.11x = 5,759.93 × 3,786.11
  4. Step 4: Simplify right side
    3,867.11x = 21,807,680.84
  5. Step 5: Solve for x
    x = 21,807,680.84/3,867.11
  6. Step 6: Final answer
    x = 5,639.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.