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Finding the Fourth Proportional to 10,920, 16,380 and 3,624

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Solution

The fourth proportional to 10,920, 16,380 and 3,624 is: 5,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 16,380 = 3,624 : x
  2. Step 2: Convert to fraction form
    10,920/16,380 = 3,624/x
  3. Step 3: Cross multiply
    10,920x = 16,380 × 3,624
  4. Step 4: Simplify right side
    10,920x = 59,361,120
  5. Step 5: Solve for x
    x = 59,361,120/10,920
  6. Step 6: Final answer
    x = 5,436

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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.