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Finding the Fourth Proportional to 6,896.78, 9,517.57 and 3,871.48

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Solution

The fourth proportional to 6,896.78, 9,517.57 and 3,871.48 is: 5,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.78 : 9,517.57 = 3,871.48 : x
  2. Step 2: Convert to fraction form
    6,896.78/9,517.57 = 3,871.48/x
  3. Step 3: Cross multiply
    6,896.78x = 9,517.57 × 3,871.48
  4. Step 4: Simplify right side
    6,896.78x = 36,847,106.43
  5. Step 5: Solve for x
    x = 36,847,106.43/6,896.78
  6. Step 6: Final answer
    x = 5,342.65

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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.