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Finding the Fourth Proportional to 7,474.49, 11,213.49 and 4,189.85

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Solution

The fourth proportional to 7,474.49, 11,213.49 and 4,189.85 is: 6,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.49 : 11,213.49 = 4,189.85 : x
  2. Step 2: Convert to fraction form
    7,474.49/11,213.49 = 4,189.85/x
  3. Step 3: Cross multiply
    7,474.49x = 11,213.49 × 4,189.85
  4. Step 4: Simplify right side
    7,474.49x = 46,982,785.01
  5. Step 5: Solve for x
    x = 46,982,785.01/7,474.49
  6. Step 6: Final answer
    x = 6,285.76

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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.