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Finding the Fourth Proportional to 2,011.07, 3,015.87 and 694.49

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Solution

The fourth proportional to 2,011.07, 3,015.87 and 694.49 is: 1,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.07 : 3,015.87 = 694.49 : x
  2. Step 2: Convert to fraction form
    2,011.07/3,015.87 = 694.49/x
  3. Step 3: Cross multiply
    2,011.07x = 3,015.87 × 694.49
  4. Step 4: Simplify right side
    2,011.07x = 2,094,480.54
  5. Step 5: Solve for x
    x = 2,094,480.54/2,011.07
  6. Step 6: Final answer
    x = 1,041.48

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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.