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Finding the Fourth Proportional to 6,136.32, 9,198.04 and 3,012

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Solution

The fourth proportional to 6,136.32, 9,198.04 and 3,012 is: 4,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.32 : 9,198.04 = 3,012 : x
  2. Step 2: Convert to fraction form
    6,136.32/9,198.04 = 3,012/x
  3. Step 3: Cross multiply
    6,136.32x = 9,198.04 × 3,012
  4. Step 4: Simplify right side
    6,136.32x = 27,704,496.48
  5. Step 5: Solve for x
    x = 27,704,496.48/6,136.32
  6. Step 6: Final answer
    x = 4,514.84

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