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Finding the Fourth Proportional to 2,134.25, 2,945.39 and 1,202.81

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Solution

The fourth proportional to 2,134.25, 2,945.39 and 1,202.81 is: 1,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.25 : 2,945.39 = 1,202.81 : x
  2. Step 2: Convert to fraction form
    2,134.25/2,945.39 = 1,202.81/x
  3. Step 3: Cross multiply
    2,134.25x = 2,945.39 × 1,202.81
  4. Step 4: Simplify right side
    2,134.25x = 3,542,744.55
  5. Step 5: Solve for x
    x = 3,542,744.55/2,134.25
  6. Step 6: Final answer
    x = 1,659.95

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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.