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Finding the Fourth Proportional to 21,941, 30,278.60 and 12,005

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Solution

The fourth proportional to 21,941, 30,278.60 and 12,005 is: 16,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,941 : 30,278.60 = 12,005 : x
  2. Step 2: Convert to fraction form
    21,941/30,278.60 = 12,005/x
  3. Step 3: Cross multiply
    21,941x = 30,278.60 × 12,005
  4. Step 4: Simplify right side
    21,941x = 363,494,593
  5. Step 5: Solve for x
    x = 363,494,593/21,941
  6. Step 6: Final answer
    x = 16,566.91

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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.