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Finding the Fourth Proportional to 6,400.91, 9,611.79 and 3,951.31

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Solution

The fourth proportional to 6,400.91, 9,611.79 and 3,951.31 is: 5,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.91 : 9,611.79 = 3,951.31 : x
  2. Step 2: Convert to fraction form
    6,400.91/9,611.79 = 3,951.31/x
  3. Step 3: Cross multiply
    6,400.91x = 9,611.79 × 3,951.31
  4. Step 4: Simplify right side
    6,400.91x = 37,979,137.92
  5. Step 5: Solve for x
    x = 37,979,137.92/6,400.91
  6. Step 6: Final answer
    x = 5,933.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.