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Finding the Fourth Proportional to 2,279.03, 3,418.64 and 817.79

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Solution

The fourth proportional to 2,279.03, 3,418.64 and 817.79 is: 1,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.03 : 3,418.64 = 817.79 : x
  2. Step 2: Convert to fraction form
    2,279.03/3,418.64 = 817.79/x
  3. Step 3: Cross multiply
    2,279.03x = 3,418.64 × 817.79
  4. Step 4: Simplify right side
    2,279.03x = 2,795,708.42
  5. Step 5: Solve for x
    x = 2,795,708.42/2,279.03
  6. Step 6: Final answer
    x = 1,226.71

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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.