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Finding the Fourth Proportional to 13,801.34, 20,702.70 and 3,942.09

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Solution

The fourth proportional to 13,801.34, 20,702.70 and 3,942.09 is: 5,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.34 : 20,702.70 = 3,942.09 : x
  2. Step 2: Convert to fraction form
    13,801.34/20,702.70 = 3,942.09/x
  3. Step 3: Cross multiply
    13,801.34x = 20,702.70 × 3,942.09
  4. Step 4: Simplify right side
    13,801.34x = 81,611,906.64
  5. Step 5: Solve for x
    x = 81,611,906.64/13,801.34
  6. Step 6: Final answer
    x = 5,913.33

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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.