Home / 2,137.16-3,203.76-1,163.36

Finding the Fourth Proportional to 2,137.16, 3,203.76 and 1,163.36

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Solution

The fourth proportional to 2,137.16, 3,203.76 and 1,163.36 is: 1,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.16 : 3,203.76 = 1,163.36 : x
  2. Step 2: Convert to fraction form
    2,137.16/3,203.76 = 1,163.36/x
  3. Step 3: Cross multiply
    2,137.16x = 3,203.76 × 1,163.36
  4. Step 4: Simplify right side
    2,137.16x = 3,727,126.23
  5. Step 5: Solve for x
    x = 3,727,126.23/2,137.16
  6. Step 6: Final answer
    x = 1,743.96

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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.