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Finding the Fourth Proportional to 7,892.22, 11,832.84 and 3,993.96

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Solution

The fourth proportional to 7,892.22, 11,832.84 and 3,993.96 is: 5,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.22 : 11,832.84 = 3,993.96 : x
  2. Step 2: Convert to fraction form
    7,892.22/11,832.84 = 3,993.96/x
  3. Step 3: Cross multiply
    7,892.22x = 11,832.84 × 3,993.96
  4. Step 4: Simplify right side
    7,892.22x = 47,259,889.65
  5. Step 5: Solve for x
    x = 47,259,889.65/7,892.22
  6. Step 6: Final answer
    x = 5,988.16

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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.