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Finding the Fourth Proportional to 3,377.64, 5,062.72 and 2,279.28

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Solution

The fourth proportional to 3,377.64, 5,062.72 and 2,279.28 is: 3,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.64 : 5,062.72 = 2,279.28 : x
  2. Step 2: Convert to fraction form
    3,377.64/5,062.72 = 2,279.28/x
  3. Step 3: Cross multiply
    3,377.64x = 5,062.72 × 2,279.28
  4. Step 4: Simplify right side
    3,377.64x = 11,539,356.44
  5. Step 5: Solve for x
    x = 11,539,356.44/3,377.64
  6. Step 6: Final answer
    x = 3,416.40

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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.