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Finding the Fourth Proportional to 2,765.68, 4,148.52 and 817.73

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Solution

The fourth proportional to 2,765.68, 4,148.52 and 817.73 is: 1,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.68 : 4,148.52 = 817.73 : x
  2. Step 2: Convert to fraction form
    2,765.68/4,148.52 = 817.73/x
  3. Step 3: Cross multiply
    2,765.68x = 4,148.52 × 817.73
  4. Step 4: Simplify right side
    2,765.68x = 3,392,361.01
  5. Step 5: Solve for x
    x = 3,392,361.01/2,765.68
  6. Step 6: Final answer
    x = 1,226.59

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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.