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Finding the Fourth Proportional to 6,896.81, 9,517.64 and 3,753

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Solution

The fourth proportional to 6,896.81, 9,517.64 and 3,753 is: 5,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.81 : 9,517.64 = 3,753 : x
  2. Step 2: Convert to fraction form
    6,896.81/9,517.64 = 3,753/x
  3. Step 3: Cross multiply
    6,896.81x = 9,517.64 × 3,753
  4. Step 4: Simplify right side
    6,896.81x = 35,719,684.16
  5. Step 5: Solve for x
    x = 35,719,684.16/6,896.81
  6. Step 6: Final answer
    x = 5,179.16

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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.