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Finding the Fourth Proportional to 2,200.72, 3,301.19 and 1,226.10

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Solution

The fourth proportional to 2,200.72, 3,301.19 and 1,226.10 is: 1,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.72 : 3,301.19 = 1,226.10 : x
  2. Step 2: Convert to fraction form
    2,200.72/3,301.19 = 1,226.10/x
  3. Step 3: Cross multiply
    2,200.72x = 3,301.19 × 1,226.10
  4. Step 4: Simplify right side
    2,200.72x = 4,047,589.06
  5. Step 5: Solve for x
    x = 4,047,589.06/2,200.72
  6. Step 6: Final answer
    x = 1,839.21

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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.