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Finding the Fourth Proportional to 2,798.60, 4,198.50 and 850.95

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Solution

The fourth proportional to 2,798.60, 4,198.50 and 850.95 is: 1,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.60 : 4,198.50 = 850.95 : x
  2. Step 2: Convert to fraction form
    2,798.60/4,198.50 = 850.95/x
  3. Step 3: Cross multiply
    2,798.60x = 4,198.50 × 850.95
  4. Step 4: Simplify right side
    2,798.60x = 3,572,713.58
  5. Step 5: Solve for x
    x = 3,572,713.58/2,798.60
  6. Step 6: Final answer
    x = 1,276.61

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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.