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Finding the Fourth Proportional to 2,566.53, 3,850.20 and 834.75

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Solution

The fourth proportional to 2,566.53, 3,850.20 and 834.75 is: 1,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.53 : 3,850.20 = 834.75 : x
  2. Step 2: Convert to fraction form
    2,566.53/3,850.20 = 834.75/x
  3. Step 3: Cross multiply
    2,566.53x = 3,850.20 × 834.75
  4. Step 4: Simplify right side
    2,566.53x = 3,213,954.45
  5. Step 5: Solve for x
    x = 3,213,954.45/2,566.53
  6. Step 6: Final answer
    x = 1,252.26

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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.