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Finding the Fourth Proportional to 21.89, 32.94 and 19.41

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Solution

The fourth proportional to 21.89, 32.94 and 19.41 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.89 : 32.94 = 19.41 : x
  2. Step 2: Convert to fraction form
    21.89/32.94 = 19.41/x
  3. Step 3: Cross multiply
    21.89x = 32.94 × 19.41
  4. Step 4: Simplify right side
    21.89x = 639.24
  5. Step 5: Solve for x
    x = 639.24/21.89
  6. Step 6: Final answer
    x = 29.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.