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Finding the Fourth Proportional to 3,887, 5,364.18 and 2,231

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Solution

The fourth proportional to 3,887, 5,364.18 and 2,231 is: 3,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887 : 5,364.18 = 2,231 : x
  2. Step 2: Convert to fraction form
    3,887/5,364.18 = 2,231/x
  3. Step 3: Cross multiply
    3,887x = 5,364.18 × 2,231
  4. Step 4: Simplify right side
    3,887x = 11,967,485.58
  5. Step 5: Solve for x
    x = 11,967,485.58/3,887
  6. Step 6: Final answer
    x = 3,078.85

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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.