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Finding the Fourth Proportional to 7,382.78, 11,074.17 and 5,195.78

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Solution

The fourth proportional to 7,382.78, 11,074.17 and 5,195.78 is: 7,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.78 : 11,074.17 = 5,195.78 : x
  2. Step 2: Convert to fraction form
    7,382.78/11,074.17 = 5,195.78/x
  3. Step 3: Cross multiply
    7,382.78x = 11,074.17 × 5,195.78
  4. Step 4: Simplify right side
    7,382.78x = 57,538,951.00
  5. Step 5: Solve for x
    x = 57,538,951.00/7,382.78
  6. Step 6: Final answer
    x = 7,793.67

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Double scale
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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.