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Finding the Fourth Proportional to 6,175.38, 8,518.98 and 4,186.56

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Solution

The fourth proportional to 6,175.38, 8,518.98 and 4,186.56 is: 5,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.38 : 8,518.98 = 4,186.56 : x
  2. Step 2: Convert to fraction form
    6,175.38/8,518.98 = 4,186.56/x
  3. Step 3: Cross multiply
    6,175.38x = 8,518.98 × 4,186.56
  4. Step 4: Simplify right side
    6,175.38x = 35,665,220.91
  5. Step 5: Solve for x
    x = 35,665,220.91/6,175.38
  6. Step 6: Final answer
    x = 5,775.39

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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.