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Finding the Fourth Proportional to 2,578.83, 3,866.26 and 1,279.29

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Solution

The fourth proportional to 2,578.83, 3,866.26 and 1,279.29 is: 1,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.83 : 3,866.26 = 1,279.29 : x
  2. Step 2: Convert to fraction form
    2,578.83/3,866.26 = 1,279.29/x
  3. Step 3: Cross multiply
    2,578.83x = 3,866.26 × 1,279.29
  4. Step 4: Simplify right side
    2,578.83x = 4,946,067.76
  5. Step 5: Solve for x
    x = 4,946,067.76/2,578.83
  6. Step 6: Final answer
    x = 1,917.95

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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.