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Finding the Fourth Proportional to 24.45, 36.67 and 6.42

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Solution

The fourth proportional to 24.45, 36.67 and 6.42 is: 9.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 36.67 = 6.42 : x
  2. Step 2: Convert to fraction form
    24.45/36.67 = 6.42/x
  3. Step 3: Cross multiply
    24.45x = 36.67 × 6.42
  4. Step 4: Simplify right side
    24.45x = 235.25
  5. Step 5: Solve for x
    x = 235.25/24.45
  6. Step 6: Final answer
    x = 9.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.