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Finding the Fourth Proportional to 6,892, 10,324.89 and 3,932.50

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Solution

The fourth proportional to 6,892, 10,324.89 and 3,932.50 is: 5,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892 : 10,324.89 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    6,892/10,324.89 = 3,932.50/x
  3. Step 3: Cross multiply
    6,892x = 10,324.89 × 3,932.50
  4. Step 4: Simplify right side
    6,892x = 40,602,629.93
  5. Step 5: Solve for x
    x = 40,602,629.93/6,892
  6. Step 6: Final answer
    x = 5,891.27

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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.