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Finding the Fourth Proportional to 23,917, 33,005.46 and 13,981

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Solution

The fourth proportional to 23,917, 33,005.46 and 13,981 is: 19,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917 : 33,005.46 = 13,981 : x
  2. Step 2: Convert to fraction form
    23,917/33,005.46 = 13,981/x
  3. Step 3: Cross multiply
    23,917x = 33,005.46 × 13,981
  4. Step 4: Simplify right side
    23,917x = 461,449,336.26
  5. Step 5: Solve for x
    x = 461,449,336.26/23,917
  6. Step 6: Final answer
    x = 19,293.78

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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.