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Finding the Fourth Proportional to 21,773, 30,047.22 and 11,837

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Solution

The fourth proportional to 21,773, 30,047.22 and 11,837 is: 16,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773 : 30,047.22 = 11,837 : x
  2. Step 2: Convert to fraction form
    21,773/30,047.22 = 11,837/x
  3. Step 3: Cross multiply
    21,773x = 30,047.22 × 11,837
  4. Step 4: Simplify right side
    21,773x = 355,668,943.14
  5. Step 5: Solve for x
    x = 355,668,943.14/21,773
  6. Step 6: Final answer
    x = 16,335.32

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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.