Home / 2,114.40-3,171.30-727.80

Finding the Fourth Proportional to 2,114.40, 3,171.30 and 727.80

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Solution

The fourth proportional to 2,114.40, 3,171.30 and 727.80 is: 1,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,171.30 = 727.80 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,171.30 = 727.80/x
  3. Step 3: Cross multiply
    2,114.40x = 3,171.30 × 727.80
  4. Step 4: Simplify right side
    2,114.40x = 2,308,072.14
  5. Step 5: Solve for x
    x = 2,308,072.14/2,114.40
  6. Step 6: Final answer
    x = 1,091.60

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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.