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Finding the Fourth Proportional to 2,226.12, 3,339.30 and 744.74

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Solution

The fourth proportional to 2,226.12, 3,339.30 and 744.74 is: 1,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.12 : 3,339.30 = 744.74 : x
  2. Step 2: Convert to fraction form
    2,226.12/3,339.30 = 744.74/x
  3. Step 3: Cross multiply
    2,226.12x = 3,339.30 × 744.74
  4. Step 4: Simplify right side
    2,226.12x = 2,486,910.28
  5. Step 5: Solve for x
    x = 2,486,910.28/2,226.12
  6. Step 6: Final answer
    x = 1,117.15

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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.