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Finding the Fourth Proportional to 2,120.84, 3,181.73 and 660.11

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Solution

The fourth proportional to 2,120.84, 3,181.73 and 660.11 is: 990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.84 : 3,181.73 = 660.11 : x
  2. Step 2: Convert to fraction form
    2,120.84/3,181.73 = 660.11/x
  3. Step 3: Cross multiply
    2,120.84x = 3,181.73 × 660.11
  4. Step 4: Simplify right side
    2,120.84x = 2,100,296.44
  5. Step 5: Solve for x
    x = 2,100,296.44/2,120.84
  6. Step 6: Final answer
    x = 990.31

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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.