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Finding the Fourth Proportional to 23.41, 35.09 and 12.57

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Solution

The fourth proportional to 23.41, 35.09 and 12.57 is: 18.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.41 : 35.09 = 12.57 : x
  2. Step 2: Convert to fraction form
    23.41/35.09 = 12.57/x
  3. Step 3: Cross multiply
    23.41x = 35.09 × 12.57
  4. Step 4: Simplify right side
    23.41x = 441.02
  5. Step 5: Solve for x
    x = 441.02/23.41
  6. Step 6: Final answer
    x = 18.84

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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.