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Finding the Fourth Proportional to 2,730.92, 4,099.24 and 2,420.56

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Solution

The fourth proportional to 2,730.92, 4,099.24 and 2,420.56 is: 3,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.92 : 4,099.24 = 2,420.56 : x
  2. Step 2: Convert to fraction form
    2,730.92/4,099.24 = 2,420.56/x
  3. Step 3: Cross multiply
    2,730.92x = 4,099.24 × 2,420.56
  4. Step 4: Simplify right side
    2,730.92x = 9,922,456.37
  5. Step 5: Solve for x
    x = 9,922,456.37/2,730.92
  6. Step 6: Final answer
    x = 3,633.37

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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.