Home / 2,189.28-3,282.64-1,036

Finding the Fourth Proportional to 2,189.28, 3,282.64 and 1,036

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Solution

The fourth proportional to 2,189.28, 3,282.64 and 1,036 is: 1,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.28 : 3,282.64 = 1,036 : x
  2. Step 2: Convert to fraction form
    2,189.28/3,282.64 = 1,036/x
  3. Step 3: Cross multiply
    2,189.28x = 3,282.64 × 1,036
  4. Step 4: Simplify right side
    2,189.28x = 3,400,815.04
  5. Step 5: Solve for x
    x = 3,400,815.04/2,189.28
  6. Step 6: Final answer
    x = 1,553.39

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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.