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Finding the Fourth Proportional to 3,281.09, 4,921.22 and 1,331.42

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Solution

The fourth proportional to 3,281.09, 4,921.22 and 1,331.42 is: 1,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.09 : 4,921.22 = 1,331.42 : x
  2. Step 2: Convert to fraction form
    3,281.09/4,921.22 = 1,331.42/x
  3. Step 3: Cross multiply
    3,281.09x = 4,921.22 × 1,331.42
  4. Step 4: Simplify right side
    3,281.09x = 6,552,189.45
  5. Step 5: Solve for x
    x = 6,552,189.45/3,281.09
  6. Step 6: Final answer
    x = 1,996.96

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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.