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Finding the Fourth Proportional to 2,585.50, 3,878.34 and 854.26

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Solution

The fourth proportional to 2,585.50, 3,878.34 and 854.26 is: 1,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.50 : 3,878.34 = 854.26 : x
  2. Step 2: Convert to fraction form
    2,585.50/3,878.34 = 854.26/x
  3. Step 3: Cross multiply
    2,585.50x = 3,878.34 × 854.26
  4. Step 4: Simplify right side
    2,585.50x = 3,313,110.73
  5. Step 5: Solve for x
    x = 3,313,110.73/2,585.50
  6. Step 6: Final answer
    x = 1,281.42

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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.