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Finding the Fourth Proportional to 5,138.92, 7,700.94 and 2,796.94

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Solution

The fourth proportional to 5,138.92, 7,700.94 and 2,796.94 is: 4,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.92 : 7,700.94 = 2,796.94 : x
  2. Step 2: Convert to fraction form
    5,138.92/7,700.94 = 2,796.94/x
  3. Step 3: Cross multiply
    5,138.92x = 7,700.94 × 2,796.94
  4. Step 4: Simplify right side
    5,138.92x = 21,539,067.12
  5. Step 5: Solve for x
    x = 21,539,067.12/5,138.92
  6. Step 6: Final answer
    x = 4,191.36

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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.