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Finding the Fourth Proportional to 21.97, 30.32 and 12.76

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Solution

The fourth proportional to 21.97, 30.32 and 12.76 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 30.32 = 12.76 : x
  2. Step 2: Convert to fraction form
    21.97/30.32 = 12.76/x
  3. Step 3: Cross multiply
    21.97x = 30.32 × 12.76
  4. Step 4: Simplify right side
    21.97x = 387.06
  5. Step 5: Solve for x
    x = 387.06/21.97
  6. Step 6: Final answer
    x = 17.61

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Find fourth proportional to 10.99, 15.16 and 6.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.