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Finding the Fourth Proportional to 2,120.90, 3,181.44 and 660.08

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Solution

The fourth proportional to 2,120.90, 3,181.44 and 660.08 is: 990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.90 : 3,181.44 = 660.08 : x
  2. Step 2: Convert to fraction form
    2,120.90/3,181.44 = 660.08/x
  3. Step 3: Cross multiply
    2,120.90x = 3,181.44 × 660.08
  4. Step 4: Simplify right side
    2,120.90x = 2,100,004.92
  5. Step 5: Solve for x
    x = 2,100,004.92/2,120.90
  6. Step 6: Final answer
    x = 990.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.