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Finding the Fourth Proportional to 2,200, 3,036 and 1,268.80

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Solution

The fourth proportional to 2,200, 3,036 and 1,268.80 is: 1,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,036 = 1,268.80 : x
  2. Step 2: Convert to fraction form
    2,200/3,036 = 1,268.80/x
  3. Step 3: Cross multiply
    2,200x = 3,036 × 1,268.80
  4. Step 4: Simplify right side
    2,200x = 3,852,076.80
  5. Step 5: Solve for x
    x = 3,852,076.80/2,200
  6. Step 6: Final answer
    x = 1,750.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.