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Finding the Fourth Proportional to 2,081.57, 2,872.06 and 1,295.06

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Solution

The fourth proportional to 2,081.57, 2,872.06 and 1,295.06 is: 1,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.57 : 2,872.06 = 1,295.06 : x
  2. Step 2: Convert to fraction form
    2,081.57/2,872.06 = 1,295.06/x
  3. Step 3: Cross multiply
    2,081.57x = 2,872.06 × 1,295.06
  4. Step 4: Simplify right side
    2,081.57x = 3,719,472.43
  5. Step 5: Solve for x
    x = 3,719,472.43/2,081.57
  6. Step 6: Final answer
    x = 1,786.86

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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.