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Finding the Fourth Proportional to 21,917, 30,245.46 and 11,981

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Solution

The fourth proportional to 21,917, 30,245.46 and 11,981 is: 16,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917 : 30,245.46 = 11,981 : x
  2. Step 2: Convert to fraction form
    21,917/30,245.46 = 11,981/x
  3. Step 3: Cross multiply
    21,917x = 30,245.46 × 11,981
  4. Step 4: Simplify right side
    21,917x = 362,370,856.26
  5. Step 5: Solve for x
    x = 362,370,856.26/21,917
  6. Step 6: Final answer
    x = 16,533.78

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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.