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Finding the Fourth Proportional to 2,200.75, 3,037.17 and 1,269.25

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Solution

The fourth proportional to 2,200.75, 3,037.17 and 1,269.25 is: 1,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.75 : 3,037.17 = 1,269.25 : x
  2. Step 2: Convert to fraction form
    2,200.75/3,037.17 = 1,269.25/x
  3. Step 3: Cross multiply
    2,200.75x = 3,037.17 × 1,269.25
  4. Step 4: Simplify right side
    2,200.75x = 3,854,928.02
  5. Step 5: Solve for x
    x = 3,854,928.02/2,200.75
  6. Step 6: Final answer
    x = 1,751.64

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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.