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Finding the Fourth Proportional to 3,472.74, 4,789.89 and 2,212.49

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Solution

The fourth proportional to 3,472.74, 4,789.89 and 2,212.49 is: 3,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.74 : 4,789.89 = 2,212.49 : x
  2. Step 2: Convert to fraction form
    3,472.74/4,789.89 = 2,212.49/x
  3. Step 3: Cross multiply
    3,472.74x = 4,789.89 × 2,212.49
  4. Step 4: Simplify right side
    3,472.74x = 10,597,595.70
  5. Step 5: Solve for x
    x = 10,597,595.70/3,472.74
  6. Step 6: Final answer
    x = 3,051.65

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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.