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Finding the Fourth Proportional to 2,121.78, 3,182.92 and 660.94

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Solution

The fourth proportional to 2,121.78, 3,182.92 and 660.94 is: 991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.78 : 3,182.92 = 660.94 : x
  2. Step 2: Convert to fraction form
    2,121.78/3,182.92 = 660.94/x
  3. Step 3: Cross multiply
    2,121.78x = 3,182.92 × 660.94
  4. Step 4: Simplify right side
    2,121.78x = 2,103,719.14
  5. Step 5: Solve for x
    x = 2,103,719.14/2,121.78
  6. Step 6: Final answer
    x = 991.49

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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.