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Finding the Fourth Proportional to 2,200.69, 3,037.05 and 1,206.10

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Solution

The fourth proportional to 2,200.69, 3,037.05 and 1,206.10 is: 1,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.69 : 3,037.05 = 1,206.10 : x
  2. Step 2: Convert to fraction form
    2,200.69/3,037.05 = 1,206.10/x
  3. Step 3: Cross multiply
    2,200.69x = 3,037.05 × 1,206.10
  4. Step 4: Simplify right side
    2,200.69x = 3,662,986.01
  5. Step 5: Solve for x
    x = 3,662,986.01/2,200.69
  6. Step 6: Final answer
    x = 1,664.47

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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.