Home / 2,776.50-4,165.41-828.75

Finding the Fourth Proportional to 2,776.50, 4,165.41 and 828.75

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Solution

The fourth proportional to 2,776.50, 4,165.41 and 828.75 is: 1,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.50 : 4,165.41 = 828.75 : x
  2. Step 2: Convert to fraction form
    2,776.50/4,165.41 = 828.75/x
  3. Step 3: Cross multiply
    2,776.50x = 4,165.41 × 828.75
  4. Step 4: Simplify right side
    2,776.50x = 3,452,097.60
  5. Step 5: Solve for x
    x = 3,452,097.60/2,776.50
  6. Step 6: Final answer
    x = 1,243.33

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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.