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Finding the Fourth Proportional to 2,789.05, 4,183.56 and 709.05

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Solution

The fourth proportional to 2,789.05, 4,183.56 and 709.05 is: 1,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.05 : 4,183.56 = 709.05 : x
  2. Step 2: Convert to fraction form
    2,789.05/4,183.56 = 709.05/x
  3. Step 3: Cross multiply
    2,789.05x = 4,183.56 × 709.05
  4. Step 4: Simplify right side
    2,789.05x = 2,966,353.22
  5. Step 5: Solve for x
    x = 2,966,353.22/2,789.05
  6. Step 6: Final answer
    x = 1,063.57

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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.