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Finding the Fourth Proportional to 7,951.78, 11,022.37 and 7,819.43

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Solution

The fourth proportional to 7,951.78, 11,022.37 and 7,819.43 is: 10,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.78 : 11,022.37 = 7,819.43 : x
  2. Step 2: Convert to fraction form
    7,951.78/11,022.37 = 7,819.43/x
  3. Step 3: Cross multiply
    7,951.78x = 11,022.37 × 7,819.43
  4. Step 4: Simplify right side
    7,951.78x = 86,188,575.99
  5. Step 5: Solve for x
    x = 86,188,575.99/7,951.78
  6. Step 6: Final answer
    x = 10,838.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.