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Finding the Fourth Proportional to 18,553.81, 27,832.30 and 10,239.57

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Solution

The fourth proportional to 18,553.81, 27,832.30 and 10,239.57 is: 15,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.81 : 27,832.30 = 10,239.57 : x
  2. Step 2: Convert to fraction form
    18,553.81/27,832.30 = 10,239.57/x
  3. Step 3: Cross multiply
    18,553.81x = 27,832.30 × 10,239.57
  4. Step 4: Simplify right side
    18,553.81x = 284,990,784.11
  5. Step 5: Solve for x
    x = 284,990,784.11/18,553.81
  6. Step 6: Final answer
    x = 15,360.23

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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.