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Finding the Fourth Proportional to 3,922.32, 5,881.21 and 1,728.64

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Solution

The fourth proportional to 3,922.32, 5,881.21 and 1,728.64 is: 2,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.32 : 5,881.21 = 1,728.64 : x
  2. Step 2: Convert to fraction form
    3,922.32/5,881.21 = 1,728.64/x
  3. Step 3: Cross multiply
    3,922.32x = 5,881.21 × 1,728.64
  4. Step 4: Simplify right side
    3,922.32x = 10,166,497.88
  5. Step 5: Solve for x
    x = 10,166,497.88/3,922.32
  6. Step 6: Final answer
    x = 2,591.96

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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.