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Finding the Fourth Proportional to 3,084.15, 4,626.18 and 775.65

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Solution

The fourth proportional to 3,084.15, 4,626.18 and 775.65 is: 1,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.15 : 4,626.18 = 775.65 : x
  2. Step 2: Convert to fraction form
    3,084.15/4,626.18 = 775.65/x
  3. Step 3: Cross multiply
    3,084.15x = 4,626.18 × 775.65
  4. Step 4: Simplify right side
    3,084.15x = 3,588,296.52
  5. Step 5: Solve for x
    x = 3,588,296.52/3,084.15
  6. Step 6: Final answer
    x = 1,163.46

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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.