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Finding the Fourth Proportional to 3,786.84, 5,226.65 and 2,193.77

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Solution

The fourth proportional to 3,786.84, 5,226.65 and 2,193.77 is: 3,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.84 : 5,226.65 = 2,193.77 : x
  2. Step 2: Convert to fraction form
    3,786.84/5,226.65 = 2,193.77/x
  3. Step 3: Cross multiply
    3,786.84x = 5,226.65 × 2,193.77
  4. Step 4: Simplify right side
    3,786.84x = 11,466,030.87
  5. Step 5: Solve for x
    x = 11,466,030.87/3,786.84
  6. Step 6: Final answer
    x = 3,027.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.