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Finding the Fourth Proportional to 2,817.50, 4,226.26 and 765.50

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Solution

The fourth proportional to 2,817.50, 4,226.26 and 765.50 is: 1,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.50 : 4,226.26 = 765.50 : x
  2. Step 2: Convert to fraction form
    2,817.50/4,226.26 = 765.50/x
  3. Step 3: Cross multiply
    2,817.50x = 4,226.26 × 765.50
  4. Step 4: Simplify right side
    2,817.50x = 3,235,202.03
  5. Step 5: Solve for x
    x = 3,235,202.03/2,817.50
  6. Step 6: Final answer
    x = 1,148.25

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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.