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Finding the Fourth Proportional to 21,923, 30,254.22 and 11,987

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Solution

The fourth proportional to 21,923, 30,254.22 and 11,987 is: 16,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923 : 30,254.22 = 11,987 : x
  2. Step 2: Convert to fraction form
    21,923/30,254.22 = 11,987/x
  3. Step 3: Cross multiply
    21,923x = 30,254.22 × 11,987
  4. Step 4: Simplify right side
    21,923x = 362,657,335.14
  5. Step 5: Solve for x
    x = 362,657,335.14/21,923
  6. Step 6: Final answer
    x = 16,542.32

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1.5x scale

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.