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Finding the Fourth Proportional to 15,076.75, 20,805.78 and 8,362.39

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Solution

The fourth proportional to 15,076.75, 20,805.78 and 8,362.39 is: 11,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.75 : 20,805.78 = 8,362.39 : x
  2. Step 2: Convert to fraction form
    15,076.75/20,805.78 = 8,362.39/x
  3. Step 3: Cross multiply
    15,076.75x = 20,805.78 × 8,362.39
  4. Step 4: Simplify right side
    15,076.75x = 173,986,004.80
  5. Step 5: Solve for x
    x = 173,986,004.80/15,076.75
  6. Step 6: Final answer
    x = 11,540.02

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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.