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Finding the Fourth Proportional to 3,872.22, 5,809.68 and 1,679.82

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Solution

The fourth proportional to 3,872.22, 5,809.68 and 1,679.82 is: 2,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.22 : 5,809.68 = 1,679.82 : x
  2. Step 2: Convert to fraction form
    3,872.22/5,809.68 = 1,679.82/x
  3. Step 3: Cross multiply
    3,872.22x = 5,809.68 × 1,679.82
  4. Step 4: Simplify right side
    3,872.22x = 9,759,216.66
  5. Step 5: Solve for x
    x = 9,759,216.66/3,872.22
  6. Step 6: Final answer
    x = 2,520.32

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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.