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Finding the Fourth Proportional to 3,886.66, 5,363.39 and 2,207.84

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Solution

The fourth proportional to 3,886.66, 5,363.39 and 2,207.84 is: 3,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.66 : 5,363.39 = 2,207.84 : x
  2. Step 2: Convert to fraction form
    3,886.66/5,363.39 = 2,207.84/x
  3. Step 3: Cross multiply
    3,886.66x = 5,363.39 × 2,207.84
  4. Step 4: Simplify right side
    3,886.66x = 11,841,525.91
  5. Step 5: Solve for x
    x = 11,841,525.91/3,886.66
  6. Step 6: Final answer
    x = 3,046.71

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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.