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Finding the Fourth Proportional to 5,286.89, 7,933.05 and 2,689.82

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Solution

The fourth proportional to 5,286.89, 7,933.05 and 2,689.82 is: 4,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.89 : 7,933.05 = 2,689.82 : x
  2. Step 2: Convert to fraction form
    5,286.89/7,933.05 = 2,689.82/x
  3. Step 3: Cross multiply
    5,286.89x = 7,933.05 × 2,689.82
  4. Step 4: Simplify right side
    5,286.89x = 21,338,476.55
  5. Step 5: Solve for x
    x = 21,338,476.55/5,286.89
  6. Step 6: Final answer
    x = 4,036.11

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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.