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Finding the Fourth Proportional to 21,936, 30,272.40 and 12,000

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Solution

The fourth proportional to 21,936, 30,272.40 and 12,000 is: 16,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936 : 30,272.40 = 12,000 : x
  2. Step 2: Convert to fraction form
    21,936/30,272.40 = 12,000/x
  3. Step 3: Cross multiply
    21,936x = 30,272.40 × 12,000
  4. Step 4: Simplify right side
    21,936x = 363,268,800
  5. Step 5: Solve for x
    x = 363,268,800/21,936
  6. Step 6: Final answer
    x = 16,560.39

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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.