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Finding the Fourth Proportional to 2,798.76, 4,198.86 and 851.16

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Solution

The fourth proportional to 2,798.76, 4,198.86 and 851.16 is: 1,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.76 : 4,198.86 = 851.16 : x
  2. Step 2: Convert to fraction form
    2,798.76/4,198.86 = 851.16/x
  3. Step 3: Cross multiply
    2,798.76x = 4,198.86 × 851.16
  4. Step 4: Simplify right side
    2,798.76x = 3,573,901.68
  5. Step 5: Solve for x
    x = 3,573,901.68/2,798.76
  6. Step 6: Final answer
    x = 1,276.96

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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.