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Finding the Fourth Proportional to 2,712.50, 4,067.90 and 864.08

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Solution

The fourth proportional to 2,712.50, 4,067.90 and 864.08 is: 1,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.50 : 4,067.90 = 864.08 : x
  2. Step 2: Convert to fraction form
    2,712.50/4,067.90 = 864.08/x
  3. Step 3: Cross multiply
    2,712.50x = 4,067.90 × 864.08
  4. Step 4: Simplify right side
    2,712.50x = 3,514,991.03
  5. Step 5: Solve for x
    x = 3,514,991.03/2,712.50
  6. Step 6: Final answer
    x = 1,295.85

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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.