Home / 7,731.42-11,593.05-3,831

Finding the Fourth Proportional to 7,731.42, 11,593.05 and 3,831

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Solution

The fourth proportional to 7,731.42, 11,593.05 and 3,831 is: 5,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.42 : 11,593.05 = 3,831 : x
  2. Step 2: Convert to fraction form
    7,731.42/11,593.05 = 3,831/x
  3. Step 3: Cross multiply
    7,731.42x = 11,593.05 × 3,831
  4. Step 4: Simplify right side
    7,731.42x = 44,412,974.55
  5. Step 5: Solve for x
    x = 44,412,974.55/7,731.42
  6. Step 6: Final answer
    x = 5,744.48

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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.