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Finding the Fourth Proportional to 6,940.80, 9,571.44 and 4,287.66

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Solution

The fourth proportional to 6,940.80, 9,571.44 and 4,287.66 is: 5,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.80 : 9,571.44 = 4,287.66 : x
  2. Step 2: Convert to fraction form
    6,940.80/9,571.44 = 4,287.66/x
  3. Step 3: Cross multiply
    6,940.80x = 9,571.44 × 4,287.66
  4. Step 4: Simplify right side
    6,940.80x = 41,039,080.43
  5. Step 5: Solve for x
    x = 41,039,080.43/6,940.80
  6. Step 6: Final answer
    x = 5,912.73

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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.