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Finding the Fourth Proportional to 3,693.87, 5,540.81 and 3,431.43

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Solution

The fourth proportional to 3,693.87, 5,540.81 and 3,431.43 is: 5,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.87 : 5,540.81 = 3,431.43 : x
  2. Step 2: Convert to fraction form
    3,693.87/5,540.81 = 3,431.43/x
  3. Step 3: Cross multiply
    3,693.87x = 5,540.81 × 3,431.43
  4. Step 4: Simplify right side
    3,693.87x = 19,012,884.50
  5. Step 5: Solve for x
    x = 19,012,884.50/3,693.87
  6. Step 6: Final answer
    x = 5,147.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.