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Finding the Fourth Proportional to 8,134.80, 12,202.20 and 2,940

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Solution

The fourth proportional to 8,134.80, 12,202.20 and 2,940 is: 4,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.80 : 12,202.20 = 2,940 : x
  2. Step 2: Convert to fraction form
    8,134.80/12,202.20 = 2,940/x
  3. Step 3: Cross multiply
    8,134.80x = 12,202.20 × 2,940
  4. Step 4: Simplify right side
    8,134.80x = 35,874,468
  5. Step 5: Solve for x
    x = 35,874,468/8,134.80
  6. Step 6: Final answer
    x = 4,410

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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.