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Finding the Fourth Proportional to 2,844.46, 4,266.36 and 764.62

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Solution

The fourth proportional to 2,844.46, 4,266.36 and 764.62 is: 1,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.46 : 4,266.36 = 764.62 : x
  2. Step 2: Convert to fraction form
    2,844.46/4,266.36 = 764.62/x
  3. Step 3: Cross multiply
    2,844.46x = 4,266.36 × 764.62
  4. Step 4: Simplify right side
    2,844.46x = 3,262,144.18
  5. Step 5: Solve for x
    x = 3,262,144.18/2,844.46
  6. Step 6: Final answer
    x = 1,146.84

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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.