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Finding the Fourth Proportional to 2,112.21, 3,169.73 and 797.11

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Solution

The fourth proportional to 2,112.21, 3,169.73 and 797.11 is: 1,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.21 : 3,169.73 = 797.11 : x
  2. Step 2: Convert to fraction form
    2,112.21/3,169.73 = 797.11/x
  3. Step 3: Cross multiply
    2,112.21x = 3,169.73 × 797.11
  4. Step 4: Simplify right side
    2,112.21x = 2,526,617.55
  5. Step 5: Solve for x
    x = 2,526,617.55/2,112.21
  6. Step 6: Final answer
    x = 1,196.20

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1.5x scale

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.