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Finding the Fourth Proportional to 21,759, 30,027.50 and 11,823

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Solution

The fourth proportional to 21,759, 30,027.50 and 11,823 is: 16,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759 : 30,027.50 = 11,823 : x
  2. Step 2: Convert to fraction form
    21,759/30,027.50 = 11,823/x
  3. Step 3: Cross multiply
    21,759x = 30,027.50 × 11,823
  4. Step 4: Simplify right side
    21,759x = 355,015,132.50
  5. Step 5: Solve for x
    x = 355,015,132.50/21,759
  6. Step 6: Final answer
    x = 16,315.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.