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Finding the Fourth Proportional to 3,924, 5,414.76 and 2,245.14

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Solution

The fourth proportional to 3,924, 5,414.76 and 2,245.14 is: 3,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,414.76 = 2,245.14 : x
  2. Step 2: Convert to fraction form
    3,924/5,414.76 = 2,245.14/x
  3. Step 3: Cross multiply
    3,924x = 5,414.76 × 2,245.14
  4. Step 4: Simplify right side
    3,924x = 12,156,894.27
  5. Step 5: Solve for x
    x = 12,156,894.27/3,924
  6. Step 6: Final answer
    x = 3,098.09

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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.