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Finding the Fourth Proportional to 3,174, 4,374.84 and 2,227.92

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Solution

The fourth proportional to 3,174, 4,374.84 and 2,227.92 is: 3,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,374.84 = 2,227.92 : x
  2. Step 2: Convert to fraction form
    3,174/4,374.84 = 2,227.92/x
  3. Step 3: Cross multiply
    3,174x = 4,374.84 × 2,227.92
  4. Step 4: Simplify right side
    3,174x = 9,746,793.53
  5. Step 5: Solve for x
    x = 9,746,793.53/3,174
  6. Step 6: Final answer
    x = 3,070.82

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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.