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Finding the Fourth Proportional to 6,978.14, 9,629.66 and 3,993.78

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Solution

The fourth proportional to 6,978.14, 9,629.66 and 3,993.78 is: 5,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.14 : 9,629.66 = 3,993.78 : x
  2. Step 2: Convert to fraction form
    6,978.14/9,629.66 = 3,993.78/x
  3. Step 3: Cross multiply
    6,978.14x = 9,629.66 × 3,993.78
  4. Step 4: Simplify right side
    6,978.14x = 38,458,723.55
  5. Step 5: Solve for x
    x = 38,458,723.55/6,978.14
  6. Step 6: Final answer
    x = 5,511.32

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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.