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Finding the Fourth Proportional to 2,712.17, 4,067.81 and 763.92

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Solution

The fourth proportional to 2,712.17, 4,067.81 and 763.92 is: 1,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.17 : 4,067.81 = 763.92 : x
  2. Step 2: Convert to fraction form
    2,712.17/4,067.81 = 763.92/x
  3. Step 3: Cross multiply
    2,712.17x = 4,067.81 × 763.92
  4. Step 4: Simplify right side
    2,712.17x = 3,107,477.60
  5. Step 5: Solve for x
    x = 3,107,477.60/2,712.17
  6. Step 6: Final answer
    x = 1,145.75

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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.