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Finding the Fourth Proportional to 30,132.86, 41,583.30 and 18,193.86

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Solution

The fourth proportional to 30,132.86, 41,583.30 and 18,193.86 is: 25,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.86 : 41,583.30 = 18,193.86 : x
  2. Step 2: Convert to fraction form
    30,132.86/41,583.30 = 18,193.86/x
  3. Step 3: Cross multiply
    30,132.86x = 41,583.30 × 18,193.86
  4. Step 4: Simplify right side
    30,132.86x = 756,560,738.54
  5. Step 5: Solve for x
    x = 756,560,738.54/30,132.86
  6. Step 6: Final answer
    x = 25,107.50

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1.5x scale

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.