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Finding the Fourth Proportional to 21,843.28, 32,759.49 and 9,361.89

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Solution

The fourth proportional to 21,843.28, 32,759.49 and 9,361.89 is: 14,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.28 : 32,759.49 = 9,361.89 : x
  2. Step 2: Convert to fraction form
    21,843.28/32,759.49 = 9,361.89/x
  3. Step 3: Cross multiply
    21,843.28x = 32,759.49 × 9,361.89
  4. Step 4: Simplify right side
    21,843.28x = 306,690,741.84
  5. Step 5: Solve for x
    x = 306,690,741.84/21,843.28
  6. Step 6: Final answer
    x = 14,040.51

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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.