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Finding the Fourth Proportional to 2,834.20, 4,250.22 and 859.42

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Solution

The fourth proportional to 2,834.20, 4,250.22 and 859.42 is: 1,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.20 : 4,250.22 = 859.42 : x
  2. Step 2: Convert to fraction form
    2,834.20/4,250.22 = 859.42/x
  3. Step 3: Cross multiply
    2,834.20x = 4,250.22 × 859.42
  4. Step 4: Simplify right side
    2,834.20x = 3,652,724.07
  5. Step 5: Solve for x
    x = 3,652,724.07/2,834.20
  6. Step 6: Final answer
    x = 1,288.80

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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.