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Finding the Fourth Proportional to 20,493, 30,736.76 and 8,004.33

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Solution

The fourth proportional to 20,493, 30,736.76 and 8,004.33 is: 12,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493 : 30,736.76 = 8,004.33 : x
  2. Step 2: Convert to fraction form
    20,493/30,736.76 = 8,004.33/x
  3. Step 3: Cross multiply
    20,493x = 30,736.76 × 8,004.33
  4. Step 4: Simplify right side
    20,493x = 246,027,130.15
  5. Step 5: Solve for x
    x = 246,027,130.15/20,493
  6. Step 6: Final answer
    x = 12,005.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.