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Finding the Fourth Proportional to 7,872.99, 11,812.22 and 3,493.52

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Solution

The fourth proportional to 7,872.99, 11,812.22 and 3,493.52 is: 5,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.99 : 11,812.22 = 3,493.52 : x
  2. Step 2: Convert to fraction form
    7,872.99/11,812.22 = 3,493.52/x
  3. Step 3: Cross multiply
    7,872.99x = 11,812.22 × 3,493.52
  4. Step 4: Simplify right side
    7,872.99x = 41,266,150.29
  5. Step 5: Solve for x
    x = 41,266,150.29/7,872.99
  6. Step 6: Final answer
    x = 5,241.48

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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.