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Finding the Fourth Proportional to 39,086, 53,940.60 and 21,422

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Solution

The fourth proportional to 39,086, 53,940.60 and 21,422 is: 29,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,086 : 53,940.60 = 21,422 : x
  2. Step 2: Convert to fraction form
    39,086/53,940.60 = 21,422/x
  3. Step 3: Cross multiply
    39,086x = 53,940.60 × 21,422
  4. Step 4: Simplify right side
    39,086x = 1,155,515,533.20
  5. Step 5: Solve for x
    x = 1,155,515,533.20/39,086
  6. Step 6: Final answer
    x = 29,563.41

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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.