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Finding the Fourth Proportional to 3,963.84, 5,945.76 and 2,422.72

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Solution

The fourth proportional to 3,963.84, 5,945.76 and 2,422.72 is: 3,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.84 : 5,945.76 = 2,422.72 : x
  2. Step 2: Convert to fraction form
    3,963.84/5,945.76 = 2,422.72/x
  3. Step 3: Cross multiply
    3,963.84x = 5,945.76 × 2,422.72
  4. Step 4: Simplify right side
    3,963.84x = 14,404,911.67
  5. Step 5: Solve for x
    x = 14,404,911.67/3,963.84
  6. Step 6: Final answer
    x = 3,634.08

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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.