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Finding the Fourth Proportional to 1,222.09, 1,832.22 and 912.26

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Solution

The fourth proportional to 1,222.09, 1,832.22 and 912.26 is: 1,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.09 : 1,832.22 = 912.26 : x
  2. Step 2: Convert to fraction form
    1,222.09/1,832.22 = 912.26/x
  3. Step 3: Cross multiply
    1,222.09x = 1,832.22 × 912.26
  4. Step 4: Simplify right side
    1,222.09x = 1,671,465.60
  5. Step 5: Solve for x
    x = 1,671,465.60/1,222.09
  6. Step 6: Final answer
    x = 1,367.71

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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.