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Finding the Fourth Proportional to 13,969.74, 20,940.03 and 5,201.09

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Solution

The fourth proportional to 13,969.74, 20,940.03 and 5,201.09 is: 7,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.74 : 20,940.03 = 5,201.09 : x
  2. Step 2: Convert to fraction form
    13,969.74/20,940.03 = 5,201.09/x
  3. Step 3: Cross multiply
    13,969.74x = 20,940.03 × 5,201.09
  4. Step 4: Simplify right side
    13,969.74x = 108,910,875.93
  5. Step 5: Solve for x
    x = 108,910,875.93/13,969.74
  6. Step 6: Final answer
    x = 7,796.20

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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.