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Finding the Fourth Proportional to 7,871.75, 10,863.96 and 4,515.11

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Solution

The fourth proportional to 7,871.75, 10,863.96 and 4,515.11 is: 6,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.75 : 10,863.96 = 4,515.11 : x
  2. Step 2: Convert to fraction form
    7,871.75/10,863.96 = 4,515.11/x
  3. Step 3: Cross multiply
    7,871.75x = 10,863.96 × 4,515.11
  4. Step 4: Simplify right side
    7,871.75x = 49,051,974.44
  5. Step 5: Solve for x
    x = 49,051,974.44/7,871.75
  6. Step 6: Final answer
    x = 6,231.39

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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.