Home / 2,122.24-3,183.37-661.40

Finding the Fourth Proportional to 2,122.24, 3,183.37 and 661.40

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Solution

The fourth proportional to 2,122.24, 3,183.37 and 661.40 is: 992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.24 : 3,183.37 = 661.40 : x
  2. Step 2: Convert to fraction form
    2,122.24/3,183.37 = 661.40/x
  3. Step 3: Cross multiply
    2,122.24x = 3,183.37 × 661.40
  4. Step 4: Simplify right side
    2,122.24x = 2,105,461.69
  5. Step 5: Solve for x
    x = 2,105,461.69/2,122.24
  6. Step 6: Final answer
    x = 992.09

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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.