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Finding the Fourth Proportional to 2,115, 3,171.34 and 727.56

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Solution

The fourth proportional to 2,115, 3,171.34 and 727.56 is: 1,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115 : 3,171.34 = 727.56 : x
  2. Step 2: Convert to fraction form
    2,115/3,171.34 = 727.56/x
  3. Step 3: Cross multiply
    2,115x = 3,171.34 × 727.56
  4. Step 4: Simplify right side
    2,115x = 2,307,340.13
  5. Step 5: Solve for x
    x = 2,307,340.13/2,115
  6. Step 6: Final answer
    x = 1,090.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.