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Finding the Fourth Proportional to 18,047.81, 27,082.65 and 7,659.56

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Solution

The fourth proportional to 18,047.81, 27,082.65 and 7,659.56 is: 11,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047.81 : 27,082.65 = 7,659.56 : x
  2. Step 2: Convert to fraction form
    18,047.81/27,082.65 = 7,659.56/x
  3. Step 3: Cross multiply
    18,047.81x = 27,082.65 × 7,659.56
  4. Step 4: Simplify right side
    18,047.81x = 207,441,279.06
  5. Step 5: Solve for x
    x = 207,441,279.06/18,047.81
  6. Step 6: Final answer
    x = 11,493.98

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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.