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Finding the Fourth Proportional to 2,122.40, 3,183.70 and 661.56

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Solution

The fourth proportional to 2,122.40, 3,183.70 and 661.56 is: 992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.40 : 3,183.70 = 661.56 : x
  2. Step 2: Convert to fraction form
    2,122.40/3,183.70 = 661.56/x
  3. Step 3: Cross multiply
    2,122.40x = 3,183.70 × 661.56
  4. Step 4: Simplify right side
    2,122.40x = 2,106,208.57
  5. Step 5: Solve for x
    x = 2,106,208.57/2,122.40
  6. Step 6: Final answer
    x = 992.37

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1.5x scale

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.