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Finding the Fourth Proportional to 3,690.94, 5,511.95 and 3,243.82

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Solution

The fourth proportional to 3,690.94, 5,511.95 and 3,243.82 is: 4,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.94 : 5,511.95 = 3,243.82 : x
  2. Step 2: Convert to fraction form
    3,690.94/5,511.95 = 3,243.82/x
  3. Step 3: Cross multiply
    3,690.94x = 5,511.95 × 3,243.82
  4. Step 4: Simplify right side
    3,690.94x = 17,879,764.32
  5. Step 5: Solve for x
    x = 17,879,764.32/3,690.94
  6. Step 6: Final answer
    x = 4,844.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.