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Finding the Fourth Proportional to 6,201.69, 9,302.58 and 1,819.21

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Solution

The fourth proportional to 6,201.69, 9,302.58 and 1,819.21 is: 2,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.69 : 9,302.58 = 1,819.21 : x
  2. Step 2: Convert to fraction form
    6,201.69/9,302.58 = 1,819.21/x
  3. Step 3: Cross multiply
    6,201.69x = 9,302.58 × 1,819.21
  4. Step 4: Simplify right side
    6,201.69x = 16,923,365.27
  5. Step 5: Solve for x
    x = 16,923,365.27/6,201.69
  6. Step 6: Final answer
    x = 2,728.83

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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.