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Finding the Fourth Proportional to 2,834.22, 4,251.84 and 984.79

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Solution

The fourth proportional to 2,834.22, 4,251.84 and 984.79 is: 1,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.22 : 4,251.84 = 984.79 : x
  2. Step 2: Convert to fraction form
    2,834.22/4,251.84 = 984.79/x
  3. Step 3: Cross multiply
    2,834.22x = 4,251.84 × 984.79
  4. Step 4: Simplify right side
    2,834.22x = 4,187,143.33
  5. Step 5: Solve for x
    x = 4,187,143.33/2,834.22
  6. Step 6: Final answer
    x = 1,477.35

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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.