Home / 2,033.68-3,049.38-646.76

Finding the Fourth Proportional to 2,033.68, 3,049.38 and 646.76

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Solution

The fourth proportional to 2,033.68, 3,049.38 and 646.76 is: 969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.68 : 3,049.38 = 646.76 : x
  2. Step 2: Convert to fraction form
    2,033.68/3,049.38 = 646.76/x
  3. Step 3: Cross multiply
    2,033.68x = 3,049.38 × 646.76
  4. Step 4: Simplify right side
    2,033.68x = 1,972,217.01
  5. Step 5: Solve for x
    x = 1,972,217.01/2,033.68
  6. Step 6: Final answer
    x = 969.78

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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.