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Finding the Fourth Proportional to 3,993.45, 5,995.48 and 3,412.19

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Solution

The fourth proportional to 3,993.45, 5,995.48 and 3,412.19 is: 5,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.45 : 5,995.48 = 3,412.19 : x
  2. Step 2: Convert to fraction form
    3,993.45/5,995.48 = 3,412.19/x
  3. Step 3: Cross multiply
    3,993.45x = 5,995.48 × 3,412.19
  4. Step 4: Simplify right side
    3,993.45x = 20,457,716.90
  5. Step 5: Solve for x
    x = 20,457,716.90/3,993.45
  6. Step 6: Final answer
    x = 5,122.82

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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.