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Finding the Fourth Proportional to 2,067.21, 3,100.82 and 507.22

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Solution

The fourth proportional to 2,067.21, 3,100.82 and 507.22 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.21 : 3,100.82 = 507.22 : x
  2. Step 2: Convert to fraction form
    2,067.21/3,100.82 = 507.22/x
  3. Step 3: Cross multiply
    2,067.21x = 3,100.82 × 507.22
  4. Step 4: Simplify right side
    2,067.21x = 1,572,787.63
  5. Step 5: Solve for x
    x = 1,572,787.63/2,067.21
  6. Step 6: Final answer
    x = 760.83

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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.