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Finding the Fourth Proportional to 13,769.25, 19,003.19 and 8,180.25

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Solution

The fourth proportional to 13,769.25, 19,003.19 and 8,180.25 is: 11,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.25 : 19,003.19 = 8,180.25 : x
  2. Step 2: Convert to fraction form
    13,769.25/19,003.19 = 8,180.25/x
  3. Step 3: Cross multiply
    13,769.25x = 19,003.19 × 8,180.25
  4. Step 4: Simplify right side
    13,769.25x = 155,450,845.00
  5. Step 5: Solve for x
    x = 155,450,845.00/13,769.25
  6. Step 6: Final answer
    x = 11,289.71

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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.