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Finding the Fourth Proportional to 2,818.45, 4,227.58 and 738.44

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Solution

The fourth proportional to 2,818.45, 4,227.58 and 738.44 is: 1,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.45 : 4,227.58 = 738.44 : x
  2. Step 2: Convert to fraction form
    2,818.45/4,227.58 = 738.44/x
  3. Step 3: Cross multiply
    2,818.45x = 4,227.58 × 738.44
  4. Step 4: Simplify right side
    2,818.45x = 3,121,823.78
  5. Step 5: Solve for x
    x = 3,121,823.78/2,818.45
  6. Step 6: Final answer
    x = 1,107.64

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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.