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Finding the Fourth Proportional to 2,120.96, 3,181.74 and 660.22

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Solution

The fourth proportional to 2,120.96, 3,181.74 and 660.22 is: 990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.96 : 3,181.74 = 660.22 : x
  2. Step 2: Convert to fraction form
    2,120.96/3,181.74 = 660.22/x
  3. Step 3: Cross multiply
    2,120.96x = 3,181.74 × 660.22
  4. Step 4: Simplify right side
    2,120.96x = 2,100,645.08
  5. Step 5: Solve for x
    x = 2,100,645.08/2,120.96
  6. Step 6: Final answer
    x = 990.42

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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.