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Finding the Fourth Proportional to 2,200.80, 3,037.09 and 1,206.15

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Solution

The fourth proportional to 2,200.80, 3,037.09 and 1,206.15 is: 1,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.80 : 3,037.09 = 1,206.15 : x
  2. Step 2: Convert to fraction form
    2,200.80/3,037.09 = 1,206.15/x
  3. Step 3: Cross multiply
    2,200.80x = 3,037.09 × 1,206.15
  4. Step 4: Simplify right side
    2,200.80x = 3,663,186.10
  5. Step 5: Solve for x
    x = 3,663,186.10/2,200.80
  6. Step 6: Final answer
    x = 1,664.48

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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.