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Finding the Fourth Proportional to 23.78, 35.63 and 13.64

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Solution

The fourth proportional to 23.78, 35.63 and 13.64 is: 20.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.78 : 35.63 = 13.64 : x
  2. Step 2: Convert to fraction form
    23.78/35.63 = 13.64/x
  3. Step 3: Cross multiply
    23.78x = 35.63 × 13.64
  4. Step 4: Simplify right side
    23.78x = 485.75
  5. Step 5: Solve for x
    x = 485.75/23.78
  6. Step 6: Final answer
    x = 20.43

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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.