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Finding the Fourth Proportional to 3,186.82, 4,398.02 and 1,928.08

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Solution

The fourth proportional to 3,186.82, 4,398.02 and 1,928.08 is: 2,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.82 : 4,398.02 = 1,928.08 : x
  2. Step 2: Convert to fraction form
    3,186.82/4,398.02 = 1,928.08/x
  3. Step 3: Cross multiply
    3,186.82x = 4,398.02 × 1,928.08
  4. Step 4: Simplify right side
    3,186.82x = 8,479,734.40
  5. Step 5: Solve for x
    x = 8,479,734.40/3,186.82
  6. Step 6: Final answer
    x = 2,660.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.