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Finding the Fourth Proportional to 12,767.75, 17,619.49 and 7,178.75

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Solution

The fourth proportional to 12,767.75, 17,619.49 and 7,178.75 is: 9,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.75 : 17,619.49 = 7,178.75 : x
  2. Step 2: Convert to fraction form
    12,767.75/17,619.49 = 7,178.75/x
  3. Step 3: Cross multiply
    12,767.75x = 17,619.49 × 7,178.75
  4. Step 4: Simplify right side
    12,767.75x = 126,485,939.94
  5. Step 5: Solve for x
    x = 126,485,939.94/12,767.75
  6. Step 6: Final answer
    x = 9,906.67

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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.