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Finding the Fourth Proportional to 2,182, 3,274.05 and 1,086.46

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Solution

The fourth proportional to 2,182, 3,274.05 and 1,086.46 is: 1,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 3,274.05 = 1,086.46 : x
  2. Step 2: Convert to fraction form
    2,182/3,274.05 = 1,086.46/x
  3. Step 3: Cross multiply
    2,182x = 3,274.05 × 1,086.46
  4. Step 4: Simplify right side
    2,182x = 3,557,124.36
  5. Step 5: Solve for x
    x = 3,557,124.36/2,182
  6. Step 6: Final answer
    x = 1,630.21

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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.