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Finding the Fourth Proportional to 2,803.11, 4,205.07 and 855.06

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Solution

The fourth proportional to 2,803.11, 4,205.07 and 855.06 is: 1,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.11 : 4,205.07 = 855.06 : x
  2. Step 2: Convert to fraction form
    2,803.11/4,205.07 = 855.06/x
  3. Step 3: Cross multiply
    2,803.11x = 4,205.07 × 855.06
  4. Step 4: Simplify right side
    2,803.11x = 3,595,561.85
  5. Step 5: Solve for x
    x = 3,595,561.85/2,803.11
  6. Step 6: Final answer
    x = 1,282.71

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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.