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Finding the Fourth Proportional to 2,122.26, 3,183.93 and 661.43

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Solution

The fourth proportional to 2,122.26, 3,183.93 and 661.43 is: 992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.26 : 3,183.93 = 661.43 : x
  2. Step 2: Convert to fraction form
    2,122.26/3,183.93 = 661.43/x
  3. Step 3: Cross multiply
    2,122.26x = 3,183.93 × 661.43
  4. Step 4: Simplify right side
    2,122.26x = 2,105,946.82
  5. Step 5: Solve for x
    x = 2,105,946.82/2,122.26
  6. Step 6: Final answer
    x = 992.31

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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.