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Finding the Fourth Proportional to 2,481.84, 3,721.74 and 921.95

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Solution

The fourth proportional to 2,481.84, 3,721.74 and 921.95 is: 1,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.84 : 3,721.74 = 921.95 : x
  2. Step 2: Convert to fraction form
    2,481.84/3,721.74 = 921.95/x
  3. Step 3: Cross multiply
    2,481.84x = 3,721.74 × 921.95
  4. Step 4: Simplify right side
    2,481.84x = 3,431,258.19
  5. Step 5: Solve for x
    x = 3,431,258.19/2,481.84
  6. Step 6: Final answer
    x = 1,382.55

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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.