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Finding the Fourth Proportional to 20,846.99, 28,769.09 and 11,287.09

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Solution

The fourth proportional to 20,846.99, 28,769.09 and 11,287.09 is: 15,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.99 : 28,769.09 = 11,287.09 : x
  2. Step 2: Convert to fraction form
    20,846.99/28,769.09 = 11,287.09/x
  3. Step 3: Cross multiply
    20,846.99x = 28,769.09 × 11,287.09
  4. Step 4: Simplify right side
    20,846.99x = 324,719,179.69
  5. Step 5: Solve for x
    x = 324,719,179.69/20,846.99
  6. Step 6: Final answer
    x = 15,576.31

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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.