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Finding the Fourth Proportional to 2,015.25, 3,021.25 and 861.81

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Solution

The fourth proportional to 2,015.25, 3,021.25 and 861.81 is: 1,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.25 : 3,021.25 = 861.81 : x
  2. Step 2: Convert to fraction form
    2,015.25/3,021.25 = 861.81/x
  3. Step 3: Cross multiply
    2,015.25x = 3,021.25 × 861.81
  4. Step 4: Simplify right side
    2,015.25x = 2,603,743.46
  5. Step 5: Solve for x
    x = 2,603,743.46/2,015.25
  6. Step 6: Final answer
    x = 1,292.02

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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.