Home / 2,131.71-3,197.64-961.53

Finding the Fourth Proportional to 2,131.71, 3,197.64 and 961.53

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Solution

The fourth proportional to 2,131.71, 3,197.64 and 961.53 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.71 : 3,197.64 = 961.53 : x
  2. Step 2: Convert to fraction form
    2,131.71/3,197.64 = 961.53/x
  3. Step 3: Cross multiply
    2,131.71x = 3,197.64 × 961.53
  4. Step 4: Simplify right side
    2,131.71x = 3,074,626.79
  5. Step 5: Solve for x
    x = 3,074,626.79/2,131.71
  6. Step 6: Final answer
    x = 1,442.33

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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.