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Finding the Fourth Proportional to 5,377, 8,067.42 and 2,642.92

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Solution

The fourth proportional to 5,377, 8,067.42 and 2,642.92 is: 3,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377 : 8,067.42 = 2,642.92 : x
  2. Step 2: Convert to fraction form
    5,377/8,067.42 = 2,642.92/x
  3. Step 3: Cross multiply
    5,377x = 8,067.42 × 2,642.92
  4. Step 4: Simplify right side
    5,377x = 21,321,545.67
  5. Step 5: Solve for x
    x = 21,321,545.67/5,377
  6. Step 6: Final answer
    x = 3,965.32

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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.