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Finding the Fourth Proportional to 13,769.75, 19,003.88 and 8,180.75

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Solution

The fourth proportional to 13,769.75, 19,003.88 and 8,180.75 is: 11,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.75 : 19,003.88 = 8,180.75 : x
  2. Step 2: Convert to fraction form
    13,769.75/19,003.88 = 8,180.75/x
  3. Step 3: Cross multiply
    13,769.75x = 19,003.88 × 8,180.75
  4. Step 4: Simplify right side
    13,769.75x = 155,465,991.31
  5. Step 5: Solve for x
    x = 155,465,991.31/13,769.75
  6. Step 6: Final answer
    x = 11,290.40

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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.