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Finding the Fourth Proportional to 6,198.09, 9,290.10 and 3,080.28

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Solution

The fourth proportional to 6,198.09, 9,290.10 and 3,080.28 is: 4,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.09 : 9,290.10 = 3,080.28 : x
  2. Step 2: Convert to fraction form
    6,198.09/9,290.10 = 3,080.28/x
  3. Step 3: Cross multiply
    6,198.09x = 9,290.10 × 3,080.28
  4. Step 4: Simplify right side
    6,198.09x = 28,616,109.23
  5. Step 5: Solve for x
    x = 28,616,109.23/6,198.09
  6. Step 6: Final answer
    x = 4,616.92

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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.