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Finding the Fourth Proportional to 2,201.10, 3,037.10 and 1,269.42

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Solution

The fourth proportional to 2,201.10, 3,037.10 and 1,269.42 is: 1,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.10 : 3,037.10 = 1,269.42 : x
  2. Step 2: Convert to fraction form
    2,201.10/3,037.10 = 1,269.42/x
  3. Step 3: Cross multiply
    2,201.10x = 3,037.10 × 1,269.42
  4. Step 4: Simplify right side
    2,201.10x = 3,855,349.13
  5. Step 5: Solve for x
    x = 3,855,349.13/2,201.10
  6. Step 6: Final answer
    x = 1,751.56

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Why These Related Problems?

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