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Finding the Fourth Proportional to 1,991.74, 2,748.12 and 1,205.77

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Solution

The fourth proportional to 1,991.74, 2,748.12 and 1,205.77 is: 1,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.74 : 2,748.12 = 1,205.77 : x
  2. Step 2: Convert to fraction form
    1,991.74/2,748.12 = 1,205.77/x
  3. Step 3: Cross multiply
    1,991.74x = 2,748.12 × 1,205.77
  4. Step 4: Simplify right side
    1,991.74x = 3,313,600.65
  5. Step 5: Solve for x
    x = 3,313,600.65/1,991.74
  6. Step 6: Final answer
    x = 1,663.67

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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.