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Finding the Fourth Proportional to 21,997.12, 32,992.02 and 7,954.42

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Solution

The fourth proportional to 21,997.12, 32,992.02 and 7,954.42 is: 11,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.12 : 32,992.02 = 7,954.42 : x
  2. Step 2: Convert to fraction form
    21,997.12/32,992.02 = 7,954.42/x
  3. Step 3: Cross multiply
    21,997.12x = 32,992.02 × 7,954.42
  4. Step 4: Simplify right side
    21,997.12x = 262,432,383.73
  5. Step 5: Solve for x
    x = 262,432,383.73/21,997.12
  6. Step 6: Final answer
    x = 11,930.31

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1.5x scale

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.