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Finding the Fourth Proportional to 30,305, 41,821.08 and 17,057

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Solution

The fourth proportional to 30,305, 41,821.08 and 17,057 is: 23,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305 : 41,821.08 = 17,057 : x
  2. Step 2: Convert to fraction form
    30,305/41,821.08 = 17,057/x
  3. Step 3: Cross multiply
    30,305x = 41,821.08 × 17,057
  4. Step 4: Simplify right side
    30,305x = 713,342,161.56
  5. Step 5: Solve for x
    x = 713,342,161.56/30,305
  6. Step 6: Final answer
    x = 23,538.76

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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.