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Finding the Fourth Proportional to 2,729.88, 3,767.04 and 2,141.82

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Solution

The fourth proportional to 2,729.88, 3,767.04 and 2,141.82 is: 2,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.88 : 3,767.04 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    2,729.88/3,767.04 = 2,141.82/x
  3. Step 3: Cross multiply
    2,729.88x = 3,767.04 × 2,141.82
  4. Step 4: Simplify right side
    2,729.88x = 8,068,321.61
  5. Step 5: Solve for x
    x = 8,068,321.61/2,729.88
  6. Step 6: Final answer
    x = 2,955.56

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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.