Home / 2,114.25-3,171.60-727.20

Finding the Fourth Proportional to 2,114.25, 3,171.60 and 727.20

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Solution

The fourth proportional to 2,114.25, 3,171.60 and 727.20 is: 1,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.25 : 3,171.60 = 727.20 : x
  2. Step 2: Convert to fraction form
    2,114.25/3,171.60 = 727.20/x
  3. Step 3: Cross multiply
    2,114.25x = 3,171.60 × 727.20
  4. Step 4: Simplify right side
    2,114.25x = 2,306,387.52
  5. Step 5: Solve for x
    x = 2,306,387.52/2,114.25
  6. Step 6: Final answer
    x = 1,090.88

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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.