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Finding the Fourth Proportional to 38,608, 57,912 and 10,906.72

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Solution

The fourth proportional to 38,608, 57,912 and 10,906.72 is: 16,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,608 : 57,912 = 10,906.72 : x
  2. Step 2: Convert to fraction form
    38,608/57,912 = 10,906.72/x
  3. Step 3: Cross multiply
    38,608x = 57,912 × 10,906.72
  4. Step 4: Simplify right side
    38,608x = 631,629,968.64
  5. Step 5: Solve for x
    x = 631,629,968.64/38,608
  6. Step 6: Final answer
    x = 16,360.08

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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.