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Finding the Fourth Proportional to 2,677.95, 4,015.49 and 828.27

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Solution

The fourth proportional to 2,677.95, 4,015.49 and 828.27 is: 1,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.95 : 4,015.49 = 828.27 : x
  2. Step 2: Convert to fraction form
    2,677.95/4,015.49 = 828.27/x
  3. Step 3: Cross multiply
    2,677.95x = 4,015.49 × 828.27
  4. Step 4: Simplify right side
    2,677.95x = 3,325,905.76
  5. Step 5: Solve for x
    x = 3,325,905.76/2,677.95
  6. Step 6: Final answer
    x = 1,241.96

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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.