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Finding the Fourth Proportional to 3,886.57, 5,363.26 and 2,207.93

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Solution

The fourth proportional to 3,886.57, 5,363.26 and 2,207.93 is: 3,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.57 : 5,363.26 = 2,207.93 : x
  2. Step 2: Convert to fraction form
    3,886.57/5,363.26 = 2,207.93/x
  3. Step 3: Cross multiply
    3,886.57x = 5,363.26 × 2,207.93
  4. Step 4: Simplify right side
    3,886.57x = 11,841,702.65
  5. Step 5: Solve for x
    x = 11,841,702.65/3,886.57
  6. Step 6: Final answer
    x = 3,046.83

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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.