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Finding the Fourth Proportional to 2,765.37, 4,148.64 and 817.41

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Solution

The fourth proportional to 2,765.37, 4,148.64 and 817.41 is: 1,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.37 : 4,148.64 = 817.41 : x
  2. Step 2: Convert to fraction form
    2,765.37/4,148.64 = 817.41/x
  3. Step 3: Cross multiply
    2,765.37x = 4,148.64 × 817.41
  4. Step 4: Simplify right side
    2,765.37x = 3,391,139.82
  5. Step 5: Solve for x
    x = 3,391,139.82/2,765.37
  6. Step 6: Final answer
    x = 1,226.29

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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.