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Finding the Fourth Proportional to 6,629.62, 9,147.54 and 3,940.78

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Solution

The fourth proportional to 6,629.62, 9,147.54 and 3,940.78 is: 5,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.62 : 9,147.54 = 3,940.78 : x
  2. Step 2: Convert to fraction form
    6,629.62/9,147.54 = 3,940.78/x
  3. Step 3: Cross multiply
    6,629.62x = 9,147.54 × 3,940.78
  4. Step 4: Simplify right side
    6,629.62x = 36,048,442.68
  5. Step 5: Solve for x
    x = 36,048,442.68/6,629.62
  6. Step 6: Final answer
    x = 5,437.48

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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.