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Finding the Fourth Proportional to 2,226.74, 3,340.34 and 765.70

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Solution

The fourth proportional to 2,226.74, 3,340.34 and 765.70 is: 1,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.74 : 3,340.34 = 765.70 : x
  2. Step 2: Convert to fraction form
    2,226.74/3,340.34 = 765.70/x
  3. Step 3: Cross multiply
    2,226.74x = 3,340.34 × 765.70
  4. Step 4: Simplify right side
    2,226.74x = 2,557,707.82
  5. Step 5: Solve for x
    x = 2,557,707.82/2,226.74
  6. Step 6: Final answer
    x = 1,148.63

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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.