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Finding the Fourth Proportional to 29,970, 41,358.60 and 16,722

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Solution

The fourth proportional to 29,970, 41,358.60 and 16,722 is: 23,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970 : 41,358.60 = 16,722 : x
  2. Step 2: Convert to fraction form
    29,970/41,358.60 = 16,722/x
  3. Step 3: Cross multiply
    29,970x = 41,358.60 × 16,722
  4. Step 4: Simplify right side
    29,970x = 691,598,509.20
  5. Step 5: Solve for x
    x = 691,598,509.20/29,970
  6. Step 6: Final answer
    x = 23,076.36

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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.