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Finding the Fourth Proportional to 2,480.49, 3,721.41 and 921.33

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Solution

The fourth proportional to 2,480.49, 3,721.41 and 921.33 is: 1,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.49 : 3,721.41 = 921.33 : x
  2. Step 2: Convert to fraction form
    2,480.49/3,721.41 = 921.33/x
  3. Step 3: Cross multiply
    2,480.49x = 3,721.41 × 921.33
  4. Step 4: Simplify right side
    2,480.49x = 3,428,646.68
  5. Step 5: Solve for x
    x = 3,428,646.68/2,480.49
  6. Step 6: Final answer
    x = 1,382.25

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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.