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Finding the Fourth Proportional to 2,305.63, 3,182.17 and 1,361.36

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Solution

The fourth proportional to 2,305.63, 3,182.17 and 1,361.36 is: 1,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.63 : 3,182.17 = 1,361.36 : x
  2. Step 2: Convert to fraction form
    2,305.63/3,182.17 = 1,361.36/x
  3. Step 3: Cross multiply
    2,305.63x = 3,182.17 × 1,361.36
  4. Step 4: Simplify right side
    2,305.63x = 4,332,073.90
  5. Step 5: Solve for x
    x = 4,332,073.90/2,305.63
  6. Step 6: Final answer
    x = 1,878.91

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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.