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Finding the Fourth Proportional to 18,324.48, 27,486.72 and 7,936

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Solution

The fourth proportional to 18,324.48, 27,486.72 and 7,936 is: 11,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324.48 : 27,486.72 = 7,936 : x
  2. Step 2: Convert to fraction form
    18,324.48/27,486.72 = 7,936/x
  3. Step 3: Cross multiply
    18,324.48x = 27,486.72 × 7,936
  4. Step 4: Simplify right side
    18,324.48x = 218,134,609.92
  5. Step 5: Solve for x
    x = 218,134,609.92/18,324.48
  6. Step 6: Final answer
    x = 11,904.00

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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.