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Finding the Fourth Proportional to 18.09, 25.02 and 17.82

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Solution

The fourth proportional to 18.09, 25.02 and 17.82 is: 24.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.09 : 25.02 = 17.82 : x
  2. Step 2: Convert to fraction form
    18.09/25.02 = 17.82/x
  3. Step 3: Cross multiply
    18.09x = 25.02 × 17.82
  4. Step 4: Simplify right side
    18.09x = 445.86
  5. Step 5: Solve for x
    x = 445.86/18.09
  6. Step 6: Final answer
    x = 24.65

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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.