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Finding the Fourth Proportional to 2,677.90, 4,015.68 and 828.01

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Solution

The fourth proportional to 2,677.90, 4,015.68 and 828.01 is: 1,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.90 : 4,015.68 = 828.01 : x
  2. Step 2: Convert to fraction form
    2,677.90/4,015.68 = 828.01/x
  3. Step 3: Cross multiply
    2,677.90x = 4,015.68 × 828.01
  4. Step 4: Simplify right side
    2,677.90x = 3,325,023.20
  5. Step 5: Solve for x
    x = 3,325,023.20/2,677.90
  6. Step 6: Final answer
    x = 1,241.65

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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.