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Finding the Fourth Proportional to 21,935, 30,270.30 and 11,999

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Solution

The fourth proportional to 21,935, 30,270.30 and 11,999 is: 16,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935 : 30,270.30 = 11,999 : x
  2. Step 2: Convert to fraction form
    21,935/30,270.30 = 11,999/x
  3. Step 3: Cross multiply
    21,935x = 30,270.30 × 11,999
  4. Step 4: Simplify right side
    21,935x = 363,213,329.70
  5. Step 5: Solve for x
    x = 363,213,329.70/21,935
  6. Step 6: Final answer
    x = 16,558.62

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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.