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Finding the Fourth Proportional to 2,469.76, 3,705.26 and 738.38

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Solution

The fourth proportional to 2,469.76, 3,705.26 and 738.38 is: 1,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.76 : 3,705.26 = 738.38 : x
  2. Step 2: Convert to fraction form
    2,469.76/3,705.26 = 738.38/x
  3. Step 3: Cross multiply
    2,469.76x = 3,705.26 × 738.38
  4. Step 4: Simplify right side
    2,469.76x = 2,735,889.88
  5. Step 5: Solve for x
    x = 2,735,889.88/2,469.76
  6. Step 6: Final answer
    x = 1,107.76

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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.