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Finding the Fourth Proportional to 2,786.60, 4,179.90 and 838.55

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Solution

The fourth proportional to 2,786.60, 4,179.90 and 838.55 is: 1,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.60 : 4,179.90 = 838.55 : x
  2. Step 2: Convert to fraction form
    2,786.60/4,179.90 = 838.55/x
  3. Step 3: Cross multiply
    2,786.60x = 4,179.90 × 838.55
  4. Step 4: Simplify right side
    2,786.60x = 3,505,055.15
  5. Step 5: Solve for x
    x = 3,505,055.15/2,786.60
  6. Step 6: Final answer
    x = 1,257.83

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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.