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Finding the Fourth Proportional to 3,279, 4,527.27 and 2,021.70

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Solution

The fourth proportional to 3,279, 4,527.27 and 2,021.70 is: 2,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279 : 4,527.27 = 2,021.70 : x
  2. Step 2: Convert to fraction form
    3,279/4,527.27 = 2,021.70/x
  3. Step 3: Cross multiply
    3,279x = 4,527.27 × 2,021.70
  4. Step 4: Simplify right side
    3,279x = 9,152,781.76
  5. Step 5: Solve for x
    x = 9,152,781.76/3,279
  6. Step 6: Final answer
    x = 2,791.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.