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Finding the Fourth Proportional to 2,584.15, 3,876.78 and 828.74

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Solution

The fourth proportional to 2,584.15, 3,876.78 and 828.74 is: 1,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.15 : 3,876.78 = 828.74 : x
  2. Step 2: Convert to fraction form
    2,584.15/3,876.78 = 828.74/x
  3. Step 3: Cross multiply
    2,584.15x = 3,876.78 × 828.74
  4. Step 4: Simplify right side
    2,584.15x = 3,212,852.35
  5. Step 5: Solve for x
    x = 3,212,852.35/2,584.15
  6. Step 6: Final answer
    x = 1,243.29

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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.