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Finding the Fourth Proportional to 2,799.45, 4,199.41 and 851.67

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Solution

The fourth proportional to 2,799.45, 4,199.41 and 851.67 is: 1,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.45 : 4,199.41 = 851.67 : x
  2. Step 2: Convert to fraction form
    2,799.45/4,199.41 = 851.67/x
  3. Step 3: Cross multiply
    2,799.45x = 4,199.41 × 851.67
  4. Step 4: Simplify right side
    2,799.45x = 3,576,511.51
  5. Step 5: Solve for x
    x = 3,576,511.51/2,799.45
  6. Step 6: Final answer
    x = 1,277.58

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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.