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Finding the Fourth Proportional to 2,844.82, 4,266.87 and 764.99

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Solution

The fourth proportional to 2,844.82, 4,266.87 and 764.99 is: 1,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.82 : 4,266.87 = 764.99 : x
  2. Step 2: Convert to fraction form
    2,844.82/4,266.87 = 764.99/x
  3. Step 3: Cross multiply
    2,844.82x = 4,266.87 × 764.99
  4. Step 4: Simplify right side
    2,844.82x = 3,264,112.88
  5. Step 5: Solve for x
    x = 3,264,112.88/2,844.82
  6. Step 6: Final answer
    x = 1,147.39

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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.