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Finding the Fourth Proportional to 3,826.88, 5,740.29 and 1,229.82

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Solution

The fourth proportional to 3,826.88, 5,740.29 and 1,229.82 is: 1,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.88 : 5,740.29 = 1,229.82 : x
  2. Step 2: Convert to fraction form
    3,826.88/5,740.29 = 1,229.82/x
  3. Step 3: Cross multiply
    3,826.88x = 5,740.29 × 1,229.82
  4. Step 4: Simplify right side
    3,826.88x = 7,059,523.45
  5. Step 5: Solve for x
    x = 7,059,523.45/3,826.88
  6. Step 6: Final answer
    x = 1,844.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.