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Finding the Fourth Proportional to 2,775.56, 4,163.94 and 1,293.71

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Solution

The fourth proportional to 2,775.56, 4,163.94 and 1,293.71 is: 1,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.56 : 4,163.94 = 1,293.71 : x
  2. Step 2: Convert to fraction form
    2,775.56/4,163.94 = 1,293.71/x
  3. Step 3: Cross multiply
    2,775.56x = 4,163.94 × 1,293.71
  4. Step 4: Simplify right side
    2,775.56x = 5,386,910.00
  5. Step 5: Solve for x
    x = 5,386,910.00/2,775.56
  6. Step 6: Final answer
    x = 1,940.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.