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Finding the Fourth Proportional to 2,198.72, 3,299.32 and 901.10

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Solution

The fourth proportional to 2,198.72, 3,299.32 and 901.10 is: 1,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.72 : 3,299.32 = 901.10 : x
  2. Step 2: Convert to fraction form
    2,198.72/3,299.32 = 901.10/x
  3. Step 3: Cross multiply
    2,198.72x = 3,299.32 × 901.10
  4. Step 4: Simplify right side
    2,198.72x = 2,973,017.25
  5. Step 5: Solve for x
    x = 2,973,017.25/2,198.72
  6. Step 6: Final answer
    x = 1,352.16

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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.