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Finding the Fourth Proportional to 3,813.89, 5,719.61 and 1,181.28

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Solution

The fourth proportional to 3,813.89, 5,719.61 and 1,181.28 is: 1,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.89 : 5,719.61 = 1,181.28 : x
  2. Step 2: Convert to fraction form
    3,813.89/5,719.61 = 1,181.28/x
  3. Step 3: Cross multiply
    3,813.89x = 5,719.61 × 1,181.28
  4. Step 4: Simplify right side
    3,813.89x = 6,756,485.30
  5. Step 5: Solve for x
    x = 6,756,485.30/3,813.89
  6. Step 6: Final answer
    x = 1,771.55

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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.