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Finding the Fourth Proportional to 3,881, 5,356.14 and 2,225

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Solution

The fourth proportional to 3,881, 5,356.14 and 2,225 is: 3,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,356.14 = 2,225 : x
  2. Step 2: Convert to fraction form
    3,881/5,356.14 = 2,225/x
  3. Step 3: Cross multiply
    3,881x = 5,356.14 × 2,225
  4. Step 4: Simplify right side
    3,881x = 11,917,411.50
  5. Step 5: Solve for x
    x = 11,917,411.50/3,881
  6. Step 6: Final answer
    x = 3,070.71

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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.