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Finding the Fourth Proportional to 8,012.50, 11,052.39 and 5,175.34

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Solution

The fourth proportional to 8,012.50, 11,052.39 and 5,175.34 is: 7,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.50 : 11,052.39 = 5,175.34 : x
  2. Step 2: Convert to fraction form
    8,012.50/11,052.39 = 5,175.34/x
  3. Step 3: Cross multiply
    8,012.50x = 11,052.39 × 5,175.34
  4. Step 4: Simplify right side
    8,012.50x = 57,199,876.06
  5. Step 5: Solve for x
    x = 57,199,876.06/8,012.50
  6. Step 6: Final answer
    x = 7,138.83

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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.