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Finding the Fourth Proportional to 2,736.66, 4,108.50 and 2,120.88

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Solution

The fourth proportional to 2,736.66, 4,108.50 and 2,120.88 is: 3,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.66 : 4,108.50 = 2,120.88 : x
  2. Step 2: Convert to fraction form
    2,736.66/4,108.50 = 2,120.88/x
  3. Step 3: Cross multiply
    2,736.66x = 4,108.50 × 2,120.88
  4. Step 4: Simplify right side
    2,736.66x = 8,713,635.48
  5. Step 5: Solve for x
    x = 8,713,635.48/2,736.66
  6. Step 6: Final answer
    x = 3,184.04

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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.