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Finding the Fourth Proportional to 8,371.96, 12,553.08 and 3,175

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Solution

The fourth proportional to 8,371.96, 12,553.08 and 3,175 is: 4,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.96 : 12,553.08 = 3,175 : x
  2. Step 2: Convert to fraction form
    8,371.96/12,553.08 = 3,175/x
  3. Step 3: Cross multiply
    8,371.96x = 12,553.08 × 3,175
  4. Step 4: Simplify right side
    8,371.96x = 39,856,029
  5. Step 5: Solve for x
    x = 39,856,029/8,371.96
  6. Step 6: Final answer
    x = 4,760.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.