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Finding the Fourth Proportional to 3,813.53, 5,721.66 and 2,771.77

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Solution

The fourth proportional to 3,813.53, 5,721.66 and 2,771.77 is: 4,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.53 : 5,721.66 = 2,771.77 : x
  2. Step 2: Convert to fraction form
    3,813.53/5,721.66 = 2,771.77/x
  3. Step 3: Cross multiply
    3,813.53x = 5,721.66 × 2,771.77
  4. Step 4: Simplify right side
    3,813.53x = 15,859,125.54
  5. Step 5: Solve for x
    x = 15,859,125.54/3,813.53
  6. Step 6: Final answer
    x = 4,158.65

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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.