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Finding the Fourth Proportional to 3,084.42, 4,626.63 and 775.94

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Solution

The fourth proportional to 3,084.42, 4,626.63 and 775.94 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.42 : 4,626.63 = 775.94 : x
  2. Step 2: Convert to fraction form
    3,084.42/4,626.63 = 775.94/x
  3. Step 3: Cross multiply
    3,084.42x = 4,626.63 × 775.94
  4. Step 4: Simplify right side
    3,084.42x = 3,589,987.28
  5. Step 5: Solve for x
    x = 3,589,987.28/3,084.42
  6. Step 6: Final answer
    x = 1,163.91

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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.