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Finding the Fourth Proportional to 3,886.67, 5,363.42 and 2,207.86

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Solution

The fourth proportional to 3,886.67, 5,363.42 and 2,207.86 is: 3,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.67 : 5,363.42 = 2,207.86 : x
  2. Step 2: Convert to fraction form
    3,886.67/5,363.42 = 2,207.86/x
  3. Step 3: Cross multiply
    3,886.67x = 5,363.42 × 2,207.86
  4. Step 4: Simplify right side
    3,886.67x = 11,841,669.44
  5. Step 5: Solve for x
    x = 11,841,669.44/3,886.67
  6. Step 6: Final answer
    x = 3,046.74

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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.