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Finding the Fourth Proportional to 6,196.50, 8,549.88 and 3,544.80

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Solution

The fourth proportional to 6,196.50, 8,549.88 and 3,544.80 is: 4,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.50 : 8,549.88 = 3,544.80 : x
  2. Step 2: Convert to fraction form
    6,196.50/8,549.88 = 3,544.80/x
  3. Step 3: Cross multiply
    6,196.50x = 8,549.88 × 3,544.80
  4. Step 4: Simplify right side
    6,196.50x = 30,307,614.62
  5. Step 5: Solve for x
    x = 30,307,614.62/6,196.50
  6. Step 6: Final answer
    x = 4,891.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.