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Finding the Fourth Proportional to 13,846.63, 20,769.36 and 6,448.54

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Solution

The fourth proportional to 13,846.63, 20,769.36 and 6,448.54 is: 9,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.63 : 20,769.36 = 6,448.54 : x
  2. Step 2: Convert to fraction form
    13,846.63/20,769.36 = 6,448.54/x
  3. Step 3: Cross multiply
    13,846.63x = 20,769.36 × 6,448.54
  4. Step 4: Simplify right side
    13,846.63x = 133,932,048.73
  5. Step 5: Solve for x
    x = 133,932,048.73/13,846.63
  6. Step 6: Final answer
    x = 9,672.54

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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.