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Finding the Fourth Proportional to 7,143.92, 10,716.92 and 2,213.96

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Solution

The fourth proportional to 7,143.92, 10,716.92 and 2,213.96 is: 3,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.92 : 10,716.92 = 2,213.96 : x
  2. Step 2: Convert to fraction form
    7,143.92/10,716.92 = 2,213.96/x
  3. Step 3: Cross multiply
    7,143.92x = 10,716.92 × 2,213.96
  4. Step 4: Simplify right side
    7,143.92x = 23,726,832.20
  5. Step 5: Solve for x
    x = 23,726,832.20/7,143.92
  6. Step 6: Final answer
    x = 3,321.26

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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.