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Finding the Fourth Proportional to 3,963.66, 5,472.27 and 2,638.50

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Solution

The fourth proportional to 3,963.66, 5,472.27 and 2,638.50 is: 3,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.66 : 5,472.27 = 2,638.50 : x
  2. Step 2: Convert to fraction form
    3,963.66/5,472.27 = 2,638.50/x
  3. Step 3: Cross multiply
    3,963.66x = 5,472.27 × 2,638.50
  4. Step 4: Simplify right side
    3,963.66x = 14,438,584.40
  5. Step 5: Solve for x
    x = 14,438,584.40/3,963.66
  6. Step 6: Final answer
    x = 3,642.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.