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Finding the Fourth Proportional to 13,940.40, 20,939.76 and 11,753.40

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Solution

The fourth proportional to 13,940.40, 20,939.76 and 11,753.40 is: 17,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.40 : 20,939.76 = 11,753.40 : x
  2. Step 2: Convert to fraction form
    13,940.40/20,939.76 = 11,753.40/x
  3. Step 3: Cross multiply
    13,940.40x = 20,939.76 × 11,753.40
  4. Step 4: Simplify right side
    13,940.40x = 246,113,375.18
  5. Step 5: Solve for x
    x = 246,113,375.18/13,940.40
  6. Step 6: Final answer
    x = 17,654.69

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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.