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Finding the Fourth Proportional to 3,805.77, 5,697.71 and 2,811.90

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Solution

The fourth proportional to 3,805.77, 5,697.71 and 2,811.90 is: 4,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.77 : 5,697.71 = 2,811.90 : x
  2. Step 2: Convert to fraction form
    3,805.77/5,697.71 = 2,811.90/x
  3. Step 3: Cross multiply
    3,805.77x = 5,697.71 × 2,811.90
  4. Step 4: Simplify right side
    3,805.77x = 16,021,369.29
  5. Step 5: Solve for x
    x = 16,021,369.29/3,805.77
  6. Step 6: Final answer
    x = 4,209.76

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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.