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Finding the Fourth Proportional to 1,980.89, 2,738.85 and 1,734.85

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Solution

The fourth proportional to 1,980.89, 2,738.85 and 1,734.85 is: 2,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.89 : 2,738.85 = 1,734.85 : x
  2. Step 2: Convert to fraction form
    1,980.89/2,738.85 = 1,734.85/x
  3. Step 3: Cross multiply
    1,980.89x = 2,738.85 × 1,734.85
  4. Step 4: Simplify right side
    1,980.89x = 4,751,493.92
  5. Step 5: Solve for x
    x = 4,751,493.92/1,980.89
  6. Step 6: Final answer
    x = 2,398.67

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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.