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Finding the Fourth Proportional to 10,816, 16,224 and 3,520

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Solution

The fourth proportional to 10,816, 16,224 and 3,520 is: 5,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 16,224 = 3,520 : x
  2. Step 2: Convert to fraction form
    10,816/16,224 = 3,520/x
  3. Step 3: Cross multiply
    10,816x = 16,224 × 3,520
  4. Step 4: Simplify right side
    10,816x = 57,108,480
  5. Step 5: Solve for x
    x = 57,108,480/10,816
  6. Step 6: Final answer
    x = 5,280

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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.