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Finding the Fourth Proportional to 5,138.82, 7,709.13 and 2,798.73

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Solution

The fourth proportional to 5,138.82, 7,709.13 and 2,798.73 is: 4,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.82 : 7,709.13 = 2,798.73 : x
  2. Step 2: Convert to fraction form
    5,138.82/7,709.13 = 2,798.73/x
  3. Step 3: Cross multiply
    5,138.82x = 7,709.13 × 2,798.73
  4. Step 4: Simplify right side
    5,138.82x = 21,575,773.40
  5. Step 5: Solve for x
    x = 21,575,773.40/5,138.82
  6. Step 6: Final answer
    x = 4,198.59

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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.