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Finding the Fourth Proportional to 21.19, 31.79 and 17.41

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Solution

The fourth proportional to 21.19, 31.79 and 17.41 is: 26.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.19 : 31.79 = 17.41 : x
  2. Step 2: Convert to fraction form
    21.19/31.79 = 17.41/x
  3. Step 3: Cross multiply
    21.19x = 31.79 × 17.41
  4. Step 4: Simplify right side
    21.19x = 553.46
  5. Step 5: Solve for x
    x = 553.46/21.19
  6. Step 6: Final answer
    x = 26.12

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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.