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Finding the Fourth Proportional to 27,992, 38,629.08 and 16,820.48

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Solution

The fourth proportional to 27,992, 38,629.08 and 16,820.48 is: 23,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 38,629.08 = 16,820.48 : x
  2. Step 2: Convert to fraction form
    27,992/38,629.08 = 16,820.48/x
  3. Step 3: Cross multiply
    27,992x = 38,629.08 × 16,820.48
  4. Step 4: Simplify right side
    27,992x = 649,759,667.56
  5. Step 5: Solve for x
    x = 649,759,667.56/27,992
  6. Step 6: Final answer
    x = 23,212.33

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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.