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Finding the Fourth Proportional to 21.97, 32.96 and 7.72

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Solution

The fourth proportional to 21.97, 32.96 and 7.72 is: 11.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 32.96 = 7.72 : x
  2. Step 2: Convert to fraction form
    21.97/32.96 = 7.72/x
  3. Step 3: Cross multiply
    21.97x = 32.96 × 7.72
  4. Step 4: Simplify right side
    21.97x = 254.45
  5. Step 5: Solve for x
    x = 254.45/21.97
  6. Step 6: Final answer
    x = 11.58

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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.