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Finding the Fourth Proportional to 2,121.24, 3,180.78 and 966

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Solution

The fourth proportional to 2,121.24, 3,180.78 and 966 is: 1,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.24 : 3,180.78 = 966 : x
  2. Step 2: Convert to fraction form
    2,121.24/3,180.78 = 966/x
  3. Step 3: Cross multiply
    2,121.24x = 3,180.78 × 966
  4. Step 4: Simplify right side
    2,121.24x = 3,072,633.48
  5. Step 5: Solve for x
    x = 3,072,633.48/2,121.24
  6. Step 6: Final answer
    x = 1,448.51

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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.