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Finding the Fourth Proportional to 21,671.25, 29,906.33 and 11,735.25

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Solution

The fourth proportional to 21,671.25, 29,906.33 and 11,735.25 is: 16,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.25 : 29,906.33 = 11,735.25 : x
  2. Step 2: Convert to fraction form
    21,671.25/29,906.33 = 11,735.25/x
  3. Step 3: Cross multiply
    21,671.25x = 29,906.33 × 11,735.25
  4. Step 4: Simplify right side
    21,671.25x = 350,958,259.13
  5. Step 5: Solve for x
    x = 350,958,259.13/21,671.25
  6. Step 6: Final answer
    x = 16,194.65

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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.