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Finding the Fourth Proportional to 2,839.91, 3,919.72 and 1,843.46

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Solution

The fourth proportional to 2,839.91, 3,919.72 and 1,843.46 is: 2,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.91 : 3,919.72 = 1,843.46 : x
  2. Step 2: Convert to fraction form
    2,839.91/3,919.72 = 1,843.46/x
  3. Step 3: Cross multiply
    2,839.91x = 3,919.72 × 1,843.46
  4. Step 4: Simplify right side
    2,839.91x = 7,225,847.46
  5. Step 5: Solve for x
    x = 7,225,847.46/2,839.91
  6. Step 6: Final answer
    x = 2,544.39

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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.