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Finding the Fourth Proportional to 7,212.92, 10,813.10 and 2,939.22

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Solution

The fourth proportional to 7,212.92, 10,813.10 and 2,939.22 is: 4,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.92 : 10,813.10 = 2,939.22 : x
  2. Step 2: Convert to fraction form
    7,212.92/10,813.10 = 2,939.22/x
  3. Step 3: Cross multiply
    7,212.92x = 10,813.10 × 2,939.22
  4. Step 4: Simplify right side
    7,212.92x = 31,782,065.09
  5. Step 5: Solve for x
    x = 31,782,065.09/7,212.92
  6. Step 6: Final answer
    x = 4,406.27

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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.