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Finding the Fourth Proportional to 2,279.14, 3,418.71 and 635.86

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Solution

The fourth proportional to 2,279.14, 3,418.71 and 635.86 is: 953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.14 : 3,418.71 = 635.86 : x
  2. Step 2: Convert to fraction form
    2,279.14/3,418.71 = 635.86/x
  3. Step 3: Cross multiply
    2,279.14x = 3,418.71 × 635.86
  4. Step 4: Simplify right side
    2,279.14x = 2,173,820.94
  5. Step 5: Solve for x
    x = 2,173,820.94/2,279.14
  6. Step 6: Final answer
    x = 953.79

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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.