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Finding the Fourth Proportional to 6,800.73, 9,382.32 and 4,143.54

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Solution

The fourth proportional to 6,800.73, 9,382.32 and 4,143.54 is: 5,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.73 : 9,382.32 = 4,143.54 : x
  2. Step 2: Convert to fraction form
    6,800.73/9,382.32 = 4,143.54/x
  3. Step 3: Cross multiply
    6,800.73x = 9,382.32 × 4,143.54
  4. Step 4: Simplify right side
    6,800.73x = 38,876,018.21
  5. Step 5: Solve for x
    x = 38,876,018.21/6,800.73
  6. Step 6: Final answer
    x = 5,716.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.