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Finding the Fourth Proportional to 3,186.25, 4,395.12 and 2,005.27

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Solution

The fourth proportional to 3,186.25, 4,395.12 and 2,005.27 is: 2,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.25 : 4,395.12 = 2,005.27 : x
  2. Step 2: Convert to fraction form
    3,186.25/4,395.12 = 2,005.27/x
  3. Step 3: Cross multiply
    3,186.25x = 4,395.12 × 2,005.27
  4. Step 4: Simplify right side
    3,186.25x = 8,813,402.28
  5. Step 5: Solve for x
    x = 8,813,402.28/3,186.25
  6. Step 6: Final answer
    x = 2,766.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.