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Finding the Fourth Proportional to 3,863.14, 5,815.82 and 2,638.30

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Solution

The fourth proportional to 3,863.14, 5,815.82 and 2,638.30 is: 3,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.14 : 5,815.82 = 2,638.30 : x
  2. Step 2: Convert to fraction form
    3,863.14/5,815.82 = 2,638.30/x
  3. Step 3: Cross multiply
    3,863.14x = 5,815.82 × 2,638.30
  4. Step 4: Simplify right side
    3,863.14x = 15,343,877.91
  5. Step 5: Solve for x
    x = 15,343,877.91/3,863.14
  6. Step 6: Final answer
    x = 3,971.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.