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Finding the Fourth Proportional to 18,049.31, 27,084.91 and 7,661.06

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Solution

The fourth proportional to 18,049.31, 27,084.91 and 7,661.06 is: 11,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.31 : 27,084.91 = 7,661.06 : x
  2. Step 2: Convert to fraction form
    18,049.31/27,084.91 = 7,661.06/x
  3. Step 3: Cross multiply
    18,049.31x = 27,084.91 × 7,661.06
  4. Step 4: Simplify right side
    18,049.31x = 207,499,169.16
  5. Step 5: Solve for x
    x = 207,499,169.16/18,049.31
  6. Step 6: Final answer
    x = 11,496.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.