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Finding the Fourth Proportional to 2,200.32, 3,036.32 and 1,268.80

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Solution

The fourth proportional to 2,200.32, 3,036.32 and 1,268.80 is: 1,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.32 : 3,036.32 = 1,268.80 : x
  2. Step 2: Convert to fraction form
    2,200.32/3,036.32 = 1,268.80/x
  3. Step 3: Cross multiply
    2,200.32x = 3,036.32 × 1,268.80
  4. Step 4: Simplify right side
    2,200.32x = 3,852,482.82
  5. Step 5: Solve for x
    x = 3,852,482.82/2,200.32
  6. Step 6: Final answer
    x = 1,750.87

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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.