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Finding the Fourth Proportional to 6,180, 8,530 and 3,697.44

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Solution

The fourth proportional to 6,180, 8,530 and 3,697.44 is: 5,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 8,530 = 3,697.44 : x
  2. Step 2: Convert to fraction form
    6,180/8,530 = 3,697.44/x
  3. Step 3: Cross multiply
    6,180x = 8,530 × 3,697.44
  4. Step 4: Simplify right side
    6,180x = 31,539,163.20
  5. Step 5: Solve for x
    x = 31,539,163.20/6,180
  6. Step 6: Final answer
    x = 5,103.42

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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.