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Finding the Fourth Proportional to 2,724.89, 4,087.41 and 876.19

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Solution

The fourth proportional to 2,724.89, 4,087.41 and 876.19 is: 1,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.89 : 4,087.41 = 876.19 : x
  2. Step 2: Convert to fraction form
    2,724.89/4,087.41 = 876.19/x
  3. Step 3: Cross multiply
    2,724.89x = 4,087.41 × 876.19
  4. Step 4: Simplify right side
    2,724.89x = 3,581,358.35
  5. Step 5: Solve for x
    x = 3,581,358.35/2,724.89
  6. Step 6: Final answer
    x = 1,314.31

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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.