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Finding the Fourth Proportional to 6,940.56, 9,578.16 and 4,147.68

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Solution

The fourth proportional to 6,940.56, 9,578.16 and 4,147.68 is: 5,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.56 : 9,578.16 = 4,147.68 : x
  2. Step 2: Convert to fraction form
    6,940.56/9,578.16 = 4,147.68/x
  3. Step 3: Cross multiply
    6,940.56x = 9,578.16 × 4,147.68
  4. Step 4: Simplify right side
    6,940.56x = 39,727,142.67
  5. Step 5: Solve for x
    x = 39,727,142.67/6,940.56
  6. Step 6: Final answer
    x = 5,723.91

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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.