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Finding the Fourth Proportional to 10,892, 16,324.65 and 7,755

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Solution

The fourth proportional to 10,892, 16,324.65 and 7,755 is: 11,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892 : 16,324.65 = 7,755 : x
  2. Step 2: Convert to fraction form
    10,892/16,324.65 = 7,755/x
  3. Step 3: Cross multiply
    10,892x = 16,324.65 × 7,755
  4. Step 4: Simplify right side
    10,892x = 126,597,660.75
  5. Step 5: Solve for x
    x = 126,597,660.75/10,892
  6. Step 6: Final answer
    x = 11,622.99

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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.