Home / 2,114.19-3,171.29-727.92

Finding the Fourth Proportional to 2,114.19, 3,171.29 and 727.92

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Solution

The fourth proportional to 2,114.19, 3,171.29 and 727.92 is: 1,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.19 : 3,171.29 = 727.92 : x
  2. Step 2: Convert to fraction form
    2,114.19/3,171.29 = 727.92/x
  3. Step 3: Cross multiply
    2,114.19x = 3,171.29 × 727.92
  4. Step 4: Simplify right side
    2,114.19x = 2,308,445.42
  5. Step 5: Solve for x
    x = 2,308,445.42/2,114.19
  6. Step 6: Final answer
    x = 1,091.88

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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.