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Finding the Fourth Proportional to 2,185.49, 3,279.11 and 798.93

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Solution

The fourth proportional to 2,185.49, 3,279.11 and 798.93 is: 1,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.49 : 3,279.11 = 798.93 : x
  2. Step 2: Convert to fraction form
    2,185.49/3,279.11 = 798.93/x
  3. Step 3: Cross multiply
    2,185.49x = 3,279.11 × 798.93
  4. Step 4: Simplify right side
    2,185.49x = 2,619,775.36
  5. Step 5: Solve for x
    x = 2,619,775.36/2,185.49
  6. Step 6: Final answer
    x = 1,198.71

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1.5x scale

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.