Home / 2,138.34-3,208.50-1,163.28

Finding the Fourth Proportional to 2,138.34, 3,208.50 and 1,163.28

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Solution

The fourth proportional to 2,138.34, 3,208.50 and 1,163.28 is: 1,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.34 : 3,208.50 = 1,163.28 : x
  2. Step 2: Convert to fraction form
    2,138.34/3,208.50 = 1,163.28/x
  3. Step 3: Cross multiply
    2,138.34x = 3,208.50 × 1,163.28
  4. Step 4: Simplify right side
    2,138.34x = 3,732,383.88
  5. Step 5: Solve for x
    x = 3,732,383.88/2,138.34
  6. Step 6: Final answer
    x = 1,745.46

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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.