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Finding the Fourth Proportional to 6,993.09, 9,650.39 and 3,968.78

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Solution

The fourth proportional to 6,993.09, 9,650.39 and 3,968.78 is: 5,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.09 : 9,650.39 = 3,968.78 : x
  2. Step 2: Convert to fraction form
    6,993.09/9,650.39 = 3,968.78/x
  3. Step 3: Cross multiply
    6,993.09x = 9,650.39 × 3,968.78
  4. Step 4: Simplify right side
    6,993.09x = 38,300,206.73
  5. Step 5: Solve for x
    x = 38,300,206.73/6,993.09
  6. Step 6: Final answer
    x = 5,476.86

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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.