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Finding the Fourth Proportional to 2,112.99, 3,169.49 and 1,650.08

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Solution

The fourth proportional to 2,112.99, 3,169.49 and 1,650.08 is: 2,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.99 : 3,169.49 = 1,650.08 : x
  2. Step 2: Convert to fraction form
    2,112.99/3,169.49 = 1,650.08/x
  3. Step 3: Cross multiply
    2,112.99x = 3,169.49 × 1,650.08
  4. Step 4: Simplify right side
    2,112.99x = 5,229,887.96
  5. Step 5: Solve for x
    x = 5,229,887.96/2,112.99
  6. Step 6: Final answer
    x = 2,475.11

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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.