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Finding the Fourth Proportional to 21,928, 30,261.36 and 11,992

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Solution

The fourth proportional to 21,928, 30,261.36 and 11,992 is: 16,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928 : 30,261.36 = 11,992 : x
  2. Step 2: Convert to fraction form
    21,928/30,261.36 = 11,992/x
  3. Step 3: Cross multiply
    21,928x = 30,261.36 × 11,992
  4. Step 4: Simplify right side
    21,928x = 362,894,229.12
  5. Step 5: Solve for x
    x = 362,894,229.12/21,928
  6. Step 6: Final answer
    x = 16,549.35

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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.