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Finding the Fourth Proportional to 1,293.82, 1,939.77 and 1,163.50

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Solution

The fourth proportional to 1,293.82, 1,939.77 and 1,163.50 is: 1,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.82 : 1,939.77 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    1,293.82/1,939.77 = 1,163.50/x
  3. Step 3: Cross multiply
    1,293.82x = 1,939.77 × 1,163.50
  4. Step 4: Simplify right side
    1,293.82x = 2,256,922.40
  5. Step 5: Solve for x
    x = 2,256,922.40/1,293.82
  6. Step 6: Final answer
    x = 1,744.39

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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.