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Finding the Fourth Proportional to 30,425, 41,986.50 and 17,177

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Solution

The fourth proportional to 30,425, 41,986.50 and 17,177 is: 23,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425 : 41,986.50 = 17,177 : x
  2. Step 2: Convert to fraction form
    30,425/41,986.50 = 17,177/x
  3. Step 3: Cross multiply
    30,425x = 41,986.50 × 17,177
  4. Step 4: Simplify right side
    30,425x = 721,202,110.50
  5. Step 5: Solve for x
    x = 721,202,110.50/30,425
  6. Step 6: Final answer
    x = 23,704.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.