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Finding the Fourth Proportional to 10,820, 16,230 and 3,524

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Solution

The fourth proportional to 10,820, 16,230 and 3,524 is: 5,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820 : 16,230 = 3,524 : x
  2. Step 2: Convert to fraction form
    10,820/16,230 = 3,524/x
  3. Step 3: Cross multiply
    10,820x = 16,230 × 3,524
  4. Step 4: Simplify right side
    10,820x = 57,194,520
  5. Step 5: Solve for x
    x = 57,194,520/10,820
  6. Step 6: Final answer
    x = 5,286

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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.