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Finding the Fourth Proportional to 3,682.09, 5,523 and 908.77

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Solution

The fourth proportional to 3,682.09, 5,523 and 908.77 is: 1,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.09 : 5,523 = 908.77 : x
  2. Step 2: Convert to fraction form
    3,682.09/5,523 = 908.77/x
  3. Step 3: Cross multiply
    3,682.09x = 5,523 × 908.77
  4. Step 4: Simplify right side
    3,682.09x = 5,019,136.71
  5. Step 5: Solve for x
    x = 5,019,136.71/3,682.09
  6. Step 6: Final answer
    x = 1,363.12

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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.