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Finding the Fourth Proportional to 21,991.40, 32,922.30 and 20,709.80

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Solution

The fourth proportional to 21,991.40, 32,922.30 and 20,709.80 is: 31,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.40 : 32,922.30 = 20,709.80 : x
  2. Step 2: Convert to fraction form
    21,991.40/32,922.30 = 20,709.80/x
  3. Step 3: Cross multiply
    21,991.40x = 32,922.30 × 20,709.80
  4. Step 4: Simplify right side
    21,991.40x = 681,814,248.54
  5. Step 5: Solve for x
    x = 681,814,248.54/21,991.40
  6. Step 6: Final answer
    x = 31,003.68

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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.