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Finding the Fourth Proportional to 6,182, 8,531.20 and 3,698

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Solution

The fourth proportional to 6,182, 8,531.20 and 3,698 is: 5,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182 : 8,531.20 = 3,698 : x
  2. Step 2: Convert to fraction form
    6,182/8,531.20 = 3,698/x
  3. Step 3: Cross multiply
    6,182x = 8,531.20 × 3,698
  4. Step 4: Simplify right side
    6,182x = 31,548,377.60
  5. Step 5: Solve for x
    x = 31,548,377.60/6,182
  6. Step 6: Final answer
    x = 5,103.26

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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.