Home / 2,112.24-3,168.76-941.80

Finding the Fourth Proportional to 2,112.24, 3,168.76 and 941.80

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Solution

The fourth proportional to 2,112.24, 3,168.76 and 941.80 is: 1,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.24 : 3,168.76 = 941.80 : x
  2. Step 2: Convert to fraction form
    2,112.24/3,168.76 = 941.80/x
  3. Step 3: Cross multiply
    2,112.24x = 3,168.76 × 941.80
  4. Step 4: Simplify right side
    2,112.24x = 2,984,338.17
  5. Step 5: Solve for x
    x = 2,984,338.17/2,112.24
  6. Step 6: Final answer
    x = 1,412.88

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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.