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Finding the Fourth Proportional to 23.61, 32.42 and 19.97

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Solution

The fourth proportional to 23.61, 32.42 and 19.97 is: 27.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.61 : 32.42 = 19.97 : x
  2. Step 2: Convert to fraction form
    23.61/32.42 = 19.97/x
  3. Step 3: Cross multiply
    23.61x = 32.42 × 19.97
  4. Step 4: Simplify right side
    23.61x = 647.17
  5. Step 5: Solve for x
    x = 647.17/23.61
  6. Step 6: Final answer
    x = 27.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.