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Finding the Fourth Proportional to 3,799.86, 5,684.81 and 2,878.08

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Solution

The fourth proportional to 3,799.86, 5,684.81 and 2,878.08 is: 4,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.86 : 5,684.81 = 2,878.08 : x
  2. Step 2: Convert to fraction form
    3,799.86/5,684.81 = 2,878.08/x
  3. Step 3: Cross multiply
    3,799.86x = 5,684.81 × 2,878.08
  4. Step 4: Simplify right side
    3,799.86x = 16,361,323.57
  5. Step 5: Solve for x
    x = 16,361,323.57/3,799.86
  6. Step 6: Final answer
    x = 4,305.77

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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.