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Finding the Fourth Proportional to 2,765.54, 4,148.73 and 817.82

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Solution

The fourth proportional to 2,765.54, 4,148.73 and 817.82 is: 1,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.54 : 4,148.73 = 817.82 : x
  2. Step 2: Convert to fraction form
    2,765.54/4,148.73 = 817.82/x
  3. Step 3: Cross multiply
    2,765.54x = 4,148.73 × 817.82
  4. Step 4: Simplify right side
    2,765.54x = 3,392,914.37
  5. Step 5: Solve for x
    x = 3,392,914.37/2,765.54
  6. Step 6: Final answer
    x = 1,226.85

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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.