Home / 2,121.86-3,183.23-661.10

Finding the Fourth Proportional to 2,121.86, 3,183.23 and 661.10

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Solution

The fourth proportional to 2,121.86, 3,183.23 and 661.10 is: 991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.86 : 3,183.23 = 661.10 : x
  2. Step 2: Convert to fraction form
    2,121.86/3,183.23 = 661.10/x
  3. Step 3: Cross multiply
    2,121.86x = 3,183.23 × 661.10
  4. Step 4: Simplify right side
    2,121.86x = 2,104,419.09
  5. Step 5: Solve for x
    x = 2,104,419.09/2,121.86
  6. Step 6: Final answer
    x = 991.78

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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.