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Finding the Fourth Proportional to 2,150.60, 3,224.94 and 611.24

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Solution

The fourth proportional to 2,150.60, 3,224.94 and 611.24 is: 916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.60 : 3,224.94 = 611.24 : x
  2. Step 2: Convert to fraction form
    2,150.60/3,224.94 = 611.24/x
  3. Step 3: Cross multiply
    2,150.60x = 3,224.94 × 611.24
  4. Step 4: Simplify right side
    2,150.60x = 1,971,212.33
  5. Step 5: Solve for x
    x = 1,971,212.33/2,150.60
  6. Step 6: Final answer
    x = 916.59

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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.