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Finding the Fourth Proportional to 3,833.66, 5,290.26 and 2,261.72

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Solution

The fourth proportional to 3,833.66, 5,290.26 and 2,261.72 is: 3,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.66 : 5,290.26 = 2,261.72 : x
  2. Step 2: Convert to fraction form
    3,833.66/5,290.26 = 2,261.72/x
  3. Step 3: Cross multiply
    3,833.66x = 5,290.26 × 2,261.72
  4. Step 4: Simplify right side
    3,833.66x = 11,965,086.85
  5. Step 5: Solve for x
    x = 11,965,086.85/3,833.66
  6. Step 6: Final answer
    x = 3,121.06

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1.5x scale

Why These Related Problems?

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