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Finding the Fourth Proportional to 2,226.84, 3,338.22 and 765.66

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Solution

The fourth proportional to 2,226.84, 3,338.22 and 765.66 is: 1,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.84 : 3,338.22 = 765.66 : x
  2. Step 2: Convert to fraction form
    2,226.84/3,338.22 = 765.66/x
  3. Step 3: Cross multiply
    2,226.84x = 3,338.22 × 765.66
  4. Step 4: Simplify right side
    2,226.84x = 2,555,941.53
  5. Step 5: Solve for x
    x = 2,555,941.53/2,226.84
  6. Step 6: Final answer
    x = 1,147.79

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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.