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Finding the Fourth Proportional to 21,825, 30,118.82 and 11,889

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Solution

The fourth proportional to 21,825, 30,118.82 and 11,889 is: 16,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 30,118.82 = 11,889 : x
  2. Step 2: Convert to fraction form
    21,825/30,118.82 = 11,889/x
  3. Step 3: Cross multiply
    21,825x = 30,118.82 × 11,889
  4. Step 4: Simplify right side
    21,825x = 358,082,650.98
  5. Step 5: Solve for x
    x = 358,082,650.98/21,825
  6. Step 6: Final answer
    x = 16,406.99

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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.