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Finding the Fourth Proportional to 3,833.31, 5,290.46 and 2,261.50

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Solution

The fourth proportional to 3,833.31, 5,290.46 and 2,261.50 is: 3,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.31 : 5,290.46 = 2,261.50 : x
  2. Step 2: Convert to fraction form
    3,833.31/5,290.46 = 2,261.50/x
  3. Step 3: Cross multiply
    3,833.31x = 5,290.46 × 2,261.50
  4. Step 4: Simplify right side
    3,833.31x = 11,964,375.29
  5. Step 5: Solve for x
    x = 11,964,375.29/3,833.31
  6. Step 6: Final answer
    x = 3,121.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.