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Finding the Fourth Proportional to 3,084.33, 4,626.49 and 775.83

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Solution

The fourth proportional to 3,084.33, 4,626.49 and 775.83 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.33 : 4,626.49 = 775.83 : x
  2. Step 2: Convert to fraction form
    3,084.33/4,626.49 = 775.83/x
  3. Step 3: Cross multiply
    3,084.33x = 4,626.49 × 775.83
  4. Step 4: Simplify right side
    3,084.33x = 3,589,362.76
  5. Step 5: Solve for x
    x = 3,589,362.76/3,084.33
  6. Step 6: Final answer
    x = 1,163.74

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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.