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Finding the Fourth Proportional to 3,894.72, 5,836.55 and 2,857.11

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Solution

The fourth proportional to 3,894.72, 5,836.55 and 2,857.11 is: 4,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.72 : 5,836.55 = 2,857.11 : x
  2. Step 2: Convert to fraction form
    3,894.72/5,836.55 = 2,857.11/x
  3. Step 3: Cross multiply
    3,894.72x = 5,836.55 × 2,857.11
  4. Step 4: Simplify right side
    3,894.72x = 16,675,651.08
  5. Step 5: Solve for x
    x = 16,675,651.08/3,894.72
  6. Step 6: Final answer
    x = 4,281.60

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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.