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Finding the Fourth Proportional to 2,651.36, 3,978.64 and 2,105.44

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Solution

The fourth proportional to 2,651.36, 3,978.64 and 2,105.44 is: 3,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.36 : 3,978.64 = 2,105.44 : x
  2. Step 2: Convert to fraction form
    2,651.36/3,978.64 = 2,105.44/x
  3. Step 3: Cross multiply
    2,651.36x = 3,978.64 × 2,105.44
  4. Step 4: Simplify right side
    2,651.36x = 8,376,787.80
  5. Step 5: Solve for x
    x = 8,376,787.80/2,651.36
  6. Step 6: Final answer
    x = 3,159.43

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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.