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Finding the Fourth Proportional to 29,682, 40,961.80 and 17,104.72

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Solution

The fourth proportional to 29,682, 40,961.80 and 17,104.72 is: 23,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 40,961.80 = 17,104.72 : x
  2. Step 2: Convert to fraction form
    29,682/40,961.80 = 17,104.72/x
  3. Step 3: Cross multiply
    29,682x = 40,961.80 × 17,104.72
  4. Step 4: Simplify right side
    29,682x = 700,640,119.70
  5. Step 5: Solve for x
    x = 700,640,119.70/29,682
  6. Step 6: Final answer
    x = 23,604.88

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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.