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Finding the Fourth Proportional to 2,226.62, 3,340.39 and 765.58

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Solution

The fourth proportional to 2,226.62, 3,340.39 and 765.58 is: 1,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.62 : 3,340.39 = 765.58 : x
  2. Step 2: Convert to fraction form
    2,226.62/3,340.39 = 765.58/x
  3. Step 3: Cross multiply
    2,226.62x = 3,340.39 × 765.58
  4. Step 4: Simplify right side
    2,226.62x = 2,557,346.39
  5. Step 5: Solve for x
    x = 2,557,346.39/2,226.62
  6. Step 6: Final answer
    x = 1,148.53

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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.