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Finding the Fourth Proportional to 3,279.74, 4,923.11 and 1,820.12

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Solution

The fourth proportional to 3,279.74, 4,923.11 and 1,820.12 is: 2,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.74 : 4,923.11 = 1,820.12 : x
  2. Step 2: Convert to fraction form
    3,279.74/4,923.11 = 1,820.12/x
  3. Step 3: Cross multiply
    3,279.74x = 4,923.11 × 1,820.12
  4. Step 4: Simplify right side
    3,279.74x = 8,960,630.91
  5. Step 5: Solve for x
    x = 8,960,630.91/3,279.74
  6. Step 6: Final answer
    x = 2,732.12

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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.