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Finding the Fourth Proportional to 21,950, 30,291 and 12,014

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Solution

The fourth proportional to 21,950, 30,291 and 12,014 is: 16,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 30,291 = 12,014 : x
  2. Step 2: Convert to fraction form
    21,950/30,291 = 12,014/x
  3. Step 3: Cross multiply
    21,950x = 30,291 × 12,014
  4. Step 4: Simplify right side
    21,950x = 363,916,074
  5. Step 5: Solve for x
    x = 363,916,074/21,950
  6. Step 6: Final answer
    x = 16,579.32

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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.