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Finding the Fourth Proportional to 27,997, 38,635.86 and 15,422.02

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Solution

The fourth proportional to 27,997, 38,635.86 and 15,422.02 is: 21,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997 : 38,635.86 = 15,422.02 : x
  2. Step 2: Convert to fraction form
    27,997/38,635.86 = 15,422.02/x
  3. Step 3: Cross multiply
    27,997x = 38,635.86 × 15,422.02
  4. Step 4: Simplify right side
    27,997x = 595,843,005.64
  5. Step 5: Solve for x
    x = 595,843,005.64/27,997
  6. Step 6: Final answer
    x = 21,282.39

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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.