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Finding the Fourth Proportional to 3,963.84, 5,945.81 and 1,884.05

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Solution

The fourth proportional to 3,963.84, 5,945.81 and 1,884.05 is: 2,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.84 : 5,945.81 = 1,884.05 : x
  2. Step 2: Convert to fraction form
    3,963.84/5,945.81 = 1,884.05/x
  3. Step 3: Cross multiply
    3,963.84x = 5,945.81 × 1,884.05
  4. Step 4: Simplify right side
    3,963.84x = 11,202,222.91
  5. Step 5: Solve for x
    x = 11,202,222.91/3,963.84
  6. Step 6: Final answer
    x = 2,826.10

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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.