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Finding the Fourth Proportional to 2,200.49, 3,036.71 and 1,205.81

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Solution

The fourth proportional to 2,200.49, 3,036.71 and 1,205.81 is: 1,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.49 : 3,036.71 = 1,205.81 : x
  2. Step 2: Convert to fraction form
    2,200.49/3,036.71 = 1,205.81/x
  3. Step 3: Cross multiply
    2,200.49x = 3,036.71 × 1,205.81
  4. Step 4: Simplify right side
    2,200.49x = 3,661,674.07
  5. Step 5: Solve for x
    x = 3,661,674.07/2,200.49
  6. Step 6: Final answer
    x = 1,664.03

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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.