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Finding the Fourth Proportional to 13,843.95, 20,772 and 7,268.59

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Solution

The fourth proportional to 13,843.95, 20,772 and 7,268.59 is: 10,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.95 : 20,772 = 7,268.59 : x
  2. Step 2: Convert to fraction form
    13,843.95/20,772 = 7,268.59/x
  3. Step 3: Cross multiply
    13,843.95x = 20,772 × 7,268.59
  4. Step 4: Simplify right side
    13,843.95x = 150,983,151.48
  5. Step 5: Solve for x
    x = 150,983,151.48/13,843.95
  6. Step 6: Final answer
    x = 10,906.07

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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.