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Finding the Fourth Proportional to 30,107.82, 41,540.30 and 17,360

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Solution

The fourth proportional to 30,107.82, 41,540.30 and 17,360 is: 23,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.82 : 41,540.30 = 17,360 : x
  2. Step 2: Convert to fraction form
    30,107.82/41,540.30 = 17,360/x
  3. Step 3: Cross multiply
    30,107.82x = 41,540.30 × 17,360
  4. Step 4: Simplify right side
    30,107.82x = 721,139,608
  5. Step 5: Solve for x
    x = 721,139,608/30,107.82
  6. Step 6: Final answer
    x = 23,951.90

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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.