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Finding the Fourth Proportional to 1,960.36, 2,704.75 and 1,120.76

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Solution

The fourth proportional to 1,960.36, 2,704.75 and 1,120.76 is: 1,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.36 : 2,704.75 = 1,120.76 : x
  2. Step 2: Convert to fraction form
    1,960.36/2,704.75 = 1,120.76/x
  3. Step 3: Cross multiply
    1,960.36x = 2,704.75 × 1,120.76
  4. Step 4: Simplify right side
    1,960.36x = 3,031,375.61
  5. Step 5: Solve for x
    x = 3,031,375.61/1,960.36
  6. Step 6: Final answer
    x = 1,546.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.