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Finding the Fourth Proportional to 2,200.40, 3,036.54 and 1,205.68

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Solution

The fourth proportional to 2,200.40, 3,036.54 and 1,205.68 is: 1,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.40 : 3,036.54 = 1,205.68 : x
  2. Step 2: Convert to fraction form
    2,200.40/3,036.54 = 1,205.68/x
  3. Step 3: Cross multiply
    2,200.40x = 3,036.54 × 1,205.68
  4. Step 4: Simplify right side
    2,200.40x = 3,661,095.55
  5. Step 5: Solve for x
    x = 3,661,095.55/2,200.40
  6. Step 6: Final answer
    x = 1,663.83

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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.