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Finding the Fourth Proportional to 3,902.96, 5,384.28 and 2,246

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Solution

The fourth proportional to 3,902.96, 5,384.28 and 2,246 is: 3,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,384.28 = 2,246 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,384.28 = 2,246/x
  3. Step 3: Cross multiply
    3,902.96x = 5,384.28 × 2,246
  4. Step 4: Simplify right side
    3,902.96x = 12,093,092.88
  5. Step 5: Solve for x
    x = 12,093,092.88/3,902.96
  6. Step 6: Final answer
    x = 3,098.44

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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.