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Finding the Fourth Proportional to 6,800.77, 10,179.28 and 3,509.38

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Solution

The fourth proportional to 6,800.77, 10,179.28 and 3,509.38 is: 5,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.77 : 10,179.28 = 3,509.38 : x
  2. Step 2: Convert to fraction form
    6,800.77/10,179.28 = 3,509.38/x
  3. Step 3: Cross multiply
    6,800.77x = 10,179.28 × 3,509.38
  4. Step 4: Simplify right side
    6,800.77x = 35,722,961.65
  5. Step 5: Solve for x
    x = 35,722,961.65/6,800.77
  6. Step 6: Final answer
    x = 5,252.78

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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.