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Finding the Fourth Proportional to 2,179.28, 3,268.82 and 535.84

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Solution

The fourth proportional to 2,179.28, 3,268.82 and 535.84 is: 803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.28 : 3,268.82 = 535.84 : x
  2. Step 2: Convert to fraction form
    2,179.28/3,268.82 = 535.84/x
  3. Step 3: Cross multiply
    2,179.28x = 3,268.82 × 535.84
  4. Step 4: Simplify right side
    2,179.28x = 1,751,564.51
  5. Step 5: Solve for x
    x = 1,751,564.51/2,179.28
  6. Step 6: Final answer
    x = 803.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.