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Finding the Fourth Proportional to 2,665.71, 4,004.37 and 2,578.23

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Solution

The fourth proportional to 2,665.71, 4,004.37 and 2,578.23 is: 3,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.71 : 4,004.37 = 2,578.23 : x
  2. Step 2: Convert to fraction form
    2,665.71/4,004.37 = 2,578.23/x
  3. Step 3: Cross multiply
    2,665.71x = 4,004.37 × 2,578.23
  4. Step 4: Simplify right side
    2,665.71x = 10,324,186.87
  5. Step 5: Solve for x
    x = 10,324,186.87/2,665.71
  6. Step 6: Final answer
    x = 3,872.96

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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.