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Finding the Fourth Proportional to 21,989.88, 32,986.44 and 12,133.80

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Solution

The fourth proportional to 21,989.88, 32,986.44 and 12,133.80 is: 18,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.88 : 32,986.44 = 12,133.80 : x
  2. Step 2: Convert to fraction form
    21,989.88/32,986.44 = 12,133.80/x
  3. Step 3: Cross multiply
    21,989.88x = 32,986.44 × 12,133.80
  4. Step 4: Simplify right side
    21,989.88x = 400,250,865.67
  5. Step 5: Solve for x
    x = 400,250,865.67/21,989.88
  6. Step 6: Final answer
    x = 18,201.59

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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.