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Finding the Fourth Proportional to 3,718.82, 5,571.80 and 1,961.20

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Solution

The fourth proportional to 3,718.82, 5,571.80 and 1,961.20 is: 2,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.82 : 5,571.80 = 1,961.20 : x
  2. Step 2: Convert to fraction form
    3,718.82/5,571.80 = 1,961.20/x
  3. Step 3: Cross multiply
    3,718.82x = 5,571.80 × 1,961.20
  4. Step 4: Simplify right side
    3,718.82x = 10,927,414.16
  5. Step 5: Solve for x
    x = 10,927,414.16/3,718.82
  6. Step 6: Final answer
    x = 2,938.41

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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.