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Finding the Fourth Proportional to 2,054.54, 3,081.73 and 686.54

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Solution

The fourth proportional to 2,054.54, 3,081.73 and 686.54 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.54 : 3,081.73 = 686.54 : x
  2. Step 2: Convert to fraction form
    2,054.54/3,081.73 = 686.54/x
  3. Step 3: Cross multiply
    2,054.54x = 3,081.73 × 686.54
  4. Step 4: Simplify right side
    2,054.54x = 2,115,730.91
  5. Step 5: Solve for x
    x = 2,115,730.91/2,054.54
  6. Step 6: Final answer
    x = 1,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.