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Finding the Fourth Proportional to 3,797.12, 5,240.22 and 2,864

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Solution

The fourth proportional to 3,797.12, 5,240.22 and 2,864 is: 3,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.12 : 5,240.22 = 2,864 : x
  2. Step 2: Convert to fraction form
    3,797.12/5,240.22 = 2,864/x
  3. Step 3: Cross multiply
    3,797.12x = 5,240.22 × 2,864
  4. Step 4: Simplify right side
    3,797.12x = 15,007,990.08
  5. Step 5: Solve for x
    x = 15,007,990.08/3,797.12
  6. Step 6: Final answer
    x = 3,952.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.