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Finding the Fourth Proportional to 13,801.05, 20,702.30 and 3,941.82

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Solution

The fourth proportional to 13,801.05, 20,702.30 and 3,941.82 is: 5,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.05 : 20,702.30 = 3,941.82 : x
  2. Step 2: Convert to fraction form
    13,801.05/20,702.30 = 3,941.82/x
  3. Step 3: Cross multiply
    13,801.05x = 20,702.30 × 3,941.82
  4. Step 4: Simplify right side
    13,801.05x = 81,604,720.48
  5. Step 5: Solve for x
    x = 81,604,720.48/13,801.05
  6. Step 6: Final answer
    x = 5,912.94

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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.