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Finding the Fourth Proportional to 4,138.70, 6,208.05 and 4,109.90

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Solution

The fourth proportional to 4,138.70, 6,208.05 and 4,109.90 is: 6,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.70 : 6,208.05 = 4,109.90 : x
  2. Step 2: Convert to fraction form
    4,138.70/6,208.05 = 4,109.90/x
  3. Step 3: Cross multiply
    4,138.70x = 6,208.05 × 4,109.90
  4. Step 4: Simplify right side
    4,138.70x = 25,514,464.70
  5. Step 5: Solve for x
    x = 25,514,464.70/4,138.70
  6. Step 6: Final answer
    x = 6,164.85

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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.