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Finding the Fourth Proportional to 6,783.70, 10,174.20 and 3,273.70

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Solution

The fourth proportional to 6,783.70, 10,174.20 and 3,273.70 is: 4,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.70 : 10,174.20 = 3,273.70 : x
  2. Step 2: Convert to fraction form
    6,783.70/10,174.20 = 3,273.70/x
  3. Step 3: Cross multiply
    6,783.70x = 10,174.20 × 3,273.70
  4. Step 4: Simplify right side
    6,783.70x = 33,307,278.54
  5. Step 5: Solve for x
    x = 33,307,278.54/6,783.70
  6. Step 6: Final answer
    x = 4,909.90

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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.