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Finding the Fourth Proportional to 3,838.33, 5,753.34 and 1,859.77

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Solution

The fourth proportional to 3,838.33, 5,753.34 and 1,859.77 is: 2,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.33 : 5,753.34 = 1,859.77 : x
  2. Step 2: Convert to fraction form
    3,838.33/5,753.34 = 1,859.77/x
  3. Step 3: Cross multiply
    3,838.33x = 5,753.34 × 1,859.77
  4. Step 4: Simplify right side
    3,838.33x = 10,699,893.78
  5. Step 5: Solve for x
    x = 10,699,893.78/3,838.33
  6. Step 6: Final answer
    x = 2,787.64

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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.