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Finding the Fourth Proportional to 6,578.92, 9,868.38 and 3,105.64

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Solution

The fourth proportional to 6,578.92, 9,868.38 and 3,105.64 is: 4,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.92 : 9,868.38 = 3,105.64 : x
  2. Step 2: Convert to fraction form
    6,578.92/9,868.38 = 3,105.64/x
  3. Step 3: Cross multiply
    6,578.92x = 9,868.38 × 3,105.64
  4. Step 4: Simplify right side
    6,578.92x = 30,647,635.66
  5. Step 5: Solve for x
    x = 30,647,635.66/6,578.92
  6. Step 6: Final answer
    x = 4,658.46

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Similar ratio
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1.5x scale

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.