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Finding the Fourth Proportional to 3,228, 4,863.96 and 2,874.36

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Solution

The fourth proportional to 3,228, 4,863.96 and 2,874.36 is: 4,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228 : 4,863.96 = 2,874.36 : x
  2. Step 2: Convert to fraction form
    3,228/4,863.96 = 2,874.36/x
  3. Step 3: Cross multiply
    3,228x = 4,863.96 × 2,874.36
  4. Step 4: Simplify right side
    3,228x = 13,980,772.07
  5. Step 5: Solve for x
    x = 13,980,772.07/3,228
  6. Step 6: Final answer
    x = 4,331.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.