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Finding the Fourth Proportional to 2,765.78, 4,148.67 and 817.94

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Solution

The fourth proportional to 2,765.78, 4,148.67 and 817.94 is: 1,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.78 : 4,148.67 = 817.94 : x
  2. Step 2: Convert to fraction form
    2,765.78/4,148.67 = 817.94/x
  3. Step 3: Cross multiply
    2,765.78x = 4,148.67 × 817.94
  4. Step 4: Simplify right side
    2,765.78x = 3,393,363.14
  5. Step 5: Solve for x
    x = 3,393,363.14/2,765.78
  6. Step 6: Final answer
    x = 1,226.91

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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.