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Finding the Fourth Proportional to 3,217, 4,825.68 and 908.68

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Solution

The fourth proportional to 3,217, 4,825.68 and 908.68 is: 1,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217 : 4,825.68 = 908.68 : x
  2. Step 2: Convert to fraction form
    3,217/4,825.68 = 908.68/x
  3. Step 3: Cross multiply
    3,217x = 4,825.68 × 908.68
  4. Step 4: Simplify right side
    3,217x = 4,384,998.90
  5. Step 5: Solve for x
    x = 4,384,998.90/3,217
  6. Step 6: Final answer
    x = 1,363.07

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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.