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Finding the Fourth Proportional to 30,059.82, 41,499 and 18,126

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Solution

The fourth proportional to 30,059.82, 41,499 and 18,126 is: 25,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059.82 : 41,499 = 18,126 : x
  2. Step 2: Convert to fraction form
    30,059.82/41,499 = 18,126/x
  3. Step 3: Cross multiply
    30,059.82x = 41,499 × 18,126
  4. Step 4: Simplify right side
    30,059.82x = 752,210,874
  5. Step 5: Solve for x
    x = 752,210,874/30,059.82
  6. Step 6: Final answer
    x = 25,023.80

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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.