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Finding the Fourth Proportional to 3,813.91, 5,724.95 and 3,377.86

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Solution

The fourth proportional to 3,813.91, 5,724.95 and 3,377.86 is: 5,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.91 : 5,724.95 = 3,377.86 : x
  2. Step 2: Convert to fraction form
    3,813.91/5,724.95 = 3,377.86/x
  3. Step 3: Cross multiply
    3,813.91x = 5,724.95 × 3,377.86
  4. Step 4: Simplify right side
    3,813.91x = 19,338,079.61
  5. Step 5: Solve for x
    x = 19,338,079.61/3,813.91
  6. Step 6: Final answer
    x = 5,070.41

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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.