Home / 2,287.15-3,431.23-727.14

Finding the Fourth Proportional to 2,287.15, 3,431.23 and 727.14

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Solution

The fourth proportional to 2,287.15, 3,431.23 and 727.14 is: 1,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.15 : 3,431.23 = 727.14 : x
  2. Step 2: Convert to fraction form
    2,287.15/3,431.23 = 727.14/x
  3. Step 3: Cross multiply
    2,287.15x = 3,431.23 × 727.14
  4. Step 4: Simplify right side
    2,287.15x = 2,494,984.58
  5. Step 5: Solve for x
    x = 2,494,984.58/2,287.15
  6. Step 6: Final answer
    x = 1,090.87

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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.