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Finding the Fourth Proportional to 2,857.05, 3,944.01 and 1,678.19

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Solution

The fourth proportional to 2,857.05, 3,944.01 and 1,678.19 is: 2,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.05 : 3,944.01 = 1,678.19 : x
  2. Step 2: Convert to fraction form
    2,857.05/3,944.01 = 1,678.19/x
  3. Step 3: Cross multiply
    2,857.05x = 3,944.01 × 1,678.19
  4. Step 4: Simplify right side
    2,857.05x = 6,618,789.75
  5. Step 5: Solve for x
    x = 6,618,789.75/2,857.05
  6. Step 6: Final answer
    x = 2,316.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.