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Finding the Fourth Proportional to 5,679.67, 7,837.24 and 3,161.11

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Solution

The fourth proportional to 5,679.67, 7,837.24 and 3,161.11 is: 4,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.67 : 7,837.24 = 3,161.11 : x
  2. Step 2: Convert to fraction form
    5,679.67/7,837.24 = 3,161.11/x
  3. Step 3: Cross multiply
    5,679.67x = 7,837.24 × 3,161.11
  4. Step 4: Simplify right side
    5,679.67x = 24,774,377.74
  5. Step 5: Solve for x
    x = 24,774,377.74/5,679.67
  6. Step 6: Final answer
    x = 4,361.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.