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Finding the Fourth Proportional to 13,940.70, 20,914.05 and 4,079.22

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Solution

The fourth proportional to 13,940.70, 20,914.05 and 4,079.22 is: 6,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.70 : 20,914.05 = 4,079.22 : x
  2. Step 2: Convert to fraction form
    13,940.70/20,914.05 = 4,079.22/x
  3. Step 3: Cross multiply
    13,940.70x = 20,914.05 × 4,079.22
  4. Step 4: Simplify right side
    13,940.70x = 85,313,011.04
  5. Step 5: Solve for x
    x = 85,313,011.04/13,940.70
  6. Step 6: Final answer
    x = 6,119.71

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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.