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Finding the Fourth Proportional to 11,020, 16,530 and 2,812

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Solution

The fourth proportional to 11,020, 16,530 and 2,812 is: 4,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020 : 16,530 = 2,812 : x
  2. Step 2: Convert to fraction form
    11,020/16,530 = 2,812/x
  3. Step 3: Cross multiply
    11,020x = 16,530 × 2,812
  4. Step 4: Simplify right side
    11,020x = 46,482,360
  5. Step 5: Solve for x
    x = 46,482,360/11,020
  6. Step 6: Final answer
    x = 4,218

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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.