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Finding the Fourth Proportional to 3,928.37, 5,891.02 and 1,428.96

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Solution

The fourth proportional to 3,928.37, 5,891.02 and 1,428.96 is: 2,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.37 : 5,891.02 = 1,428.96 : x
  2. Step 2: Convert to fraction form
    3,928.37/5,891.02 = 1,428.96/x
  3. Step 3: Cross multiply
    3,928.37x = 5,891.02 × 1,428.96
  4. Step 4: Simplify right side
    3,928.37x = 8,418,031.94
  5. Step 5: Solve for x
    x = 8,418,031.94/3,928.37
  6. Step 6: Final answer
    x = 2,142.88

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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.