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Finding the Fourth Proportional to 21,993.16, 32,991.15 and 7,759.89

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Solution

The fourth proportional to 21,993.16, 32,991.15 and 7,759.89 is: 11,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.16 : 32,991.15 = 7,759.89 : x
  2. Step 2: Convert to fraction form
    21,993.16/32,991.15 = 7,759.89/x
  3. Step 3: Cross multiply
    21,993.16x = 32,991.15 × 7,759.89
  4. Step 4: Simplify right side
    21,993.16x = 256,007,694.97
  5. Step 5: Solve for x
    x = 256,007,694.97/21,993.16
  6. Step 6: Final answer
    x = 11,640.33

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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.