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Finding the Fourth Proportional to 2,844.70, 4,267.26 and 764.70

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Solution

The fourth proportional to 2,844.70, 4,267.26 and 764.70 is: 1,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.70 : 4,267.26 = 764.70 : x
  2. Step 2: Convert to fraction form
    2,844.70/4,267.26 = 764.70/x
  3. Step 3: Cross multiply
    2,844.70x = 4,267.26 × 764.70
  4. Step 4: Simplify right side
    2,844.70x = 3,263,173.72
  5. Step 5: Solve for x
    x = 3,263,173.72/2,844.70
  6. Step 6: Final answer
    x = 1,147.11

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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.