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Finding the Fourth Proportional to 2,279.78, 3,417.24 and 963.26

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Solution

The fourth proportional to 2,279.78, 3,417.24 and 963.26 is: 1,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.78 : 3,417.24 = 963.26 : x
  2. Step 2: Convert to fraction form
    2,279.78/3,417.24 = 963.26/x
  3. Step 3: Cross multiply
    2,279.78x = 3,417.24 × 963.26
  4. Step 4: Simplify right side
    2,279.78x = 3,291,690.60
  5. Step 5: Solve for x
    x = 3,291,690.60/2,279.78
  6. Step 6: Final answer
    x = 1,443.86

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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.