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Finding the Fourth Proportional to 7,906.68, 10,896.21 and 5,664.66

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Solution

The fourth proportional to 7,906.68, 10,896.21 and 5,664.66 is: 7,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.68 : 10,896.21 = 5,664.66 : x
  2. Step 2: Convert to fraction form
    7,906.68/10,896.21 = 5,664.66/x
  3. Step 3: Cross multiply
    7,906.68x = 10,896.21 × 5,664.66
  4. Step 4: Simplify right side
    7,906.68x = 61,723,324.94
  5. Step 5: Solve for x
    x = 61,723,324.94/7,906.68
  6. Step 6: Final answer
    x = 7,806.48

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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.