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Finding the Fourth Proportional to 18,655.60, 27,965.81 and 9,286.75

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Solution

The fourth proportional to 18,655.60, 27,965.81 and 9,286.75 is: 13,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.60 : 27,965.81 = 9,286.75 : x
  2. Step 2: Convert to fraction form
    18,655.60/27,965.81 = 9,286.75/x
  3. Step 3: Cross multiply
    18,655.60x = 27,965.81 × 9,286.75
  4. Step 4: Simplify right side
    18,655.60x = 259,711,491.95
  5. Step 5: Solve for x
    x = 259,711,491.95/18,655.60
  6. Step 6: Final answer
    x = 13,921.37

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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.