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Finding the Fourth Proportional to 5,677, 8,499 and 3,479

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Solution

The fourth proportional to 5,677, 8,499 and 3,479 is: 5,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677 : 8,499 = 3,479 : x
  2. Step 2: Convert to fraction form
    5,677/8,499 = 3,479/x
  3. Step 3: Cross multiply
    5,677x = 8,499 × 3,479
  4. Step 4: Simplify right side
    5,677x = 29,568,021
  5. Step 5: Solve for x
    x = 29,568,021/5,677
  6. Step 6: Final answer
    x = 5,208.39

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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.