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Finding the Fourth Proportional to 3,992.36, 5,993.84 and 3,411.09

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Solution

The fourth proportional to 3,992.36, 5,993.84 and 3,411.09 is: 5,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.36 : 5,993.84 = 3,411.09 : x
  2. Step 2: Convert to fraction form
    3,992.36/5,993.84 = 3,411.09/x
  3. Step 3: Cross multiply
    3,992.36x = 5,993.84 × 3,411.09
  4. Step 4: Simplify right side
    3,992.36x = 20,445,527.69
  5. Step 5: Solve for x
    x = 20,445,527.69/3,992.36
  6. Step 6: Final answer
    x = 5,121.16

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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.