Home / 2,678.36-4,015.86-828.94

Finding the Fourth Proportional to 2,678.36, 4,015.86 and 828.94

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Solution

The fourth proportional to 2,678.36, 4,015.86 and 828.94 is: 1,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.36 : 4,015.86 = 828.94 : x
  2. Step 2: Convert to fraction form
    2,678.36/4,015.86 = 828.94/x
  3. Step 3: Cross multiply
    2,678.36x = 4,015.86 × 828.94
  4. Step 4: Simplify right side
    2,678.36x = 3,328,906.99
  5. Step 5: Solve for x
    x = 3,328,906.99/2,678.36
  6. Step 6: Final answer
    x = 1,242.89

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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.