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Finding the Fourth Proportional to 6,896.34, 9,516.79 and 3,912.00

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Solution

The fourth proportional to 6,896.34, 9,516.79 and 3,912.00 is: 5,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.34 : 9,516.79 = 3,912.00 : x
  2. Step 2: Convert to fraction form
    6,896.34/9,516.79 = 3,912.00/x
  3. Step 3: Cross multiply
    6,896.34x = 9,516.79 × 3,912.00
  4. Step 4: Simplify right side
    6,896.34x = 37,229,651.68
  5. Step 5: Solve for x
    x = 37,229,651.68/6,896.34
  6. Step 6: Final answer
    x = 5,398.47

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1.5x scale

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.