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Finding the Fourth Proportional to 21.64, 32.47 and 8.12

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Solution

The fourth proportional to 21.64, 32.47 and 8.12 is: 12.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.64 : 32.47 = 8.12 : x
  2. Step 2: Convert to fraction form
    21.64/32.47 = 8.12/x
  3. Step 3: Cross multiply
    21.64x = 32.47 × 8.12
  4. Step 4: Simplify right side
    21.64x = 263.66
  5. Step 5: Solve for x
    x = 263.66/21.64
  6. Step 6: Final answer
    x = 12.18

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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.