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Finding the Fourth Proportional to 3,919.39, 5,879.12 and 997.71

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Solution

The fourth proportional to 3,919.39, 5,879.12 and 997.71 is: 1,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.39 : 5,879.12 = 997.71 : x
  2. Step 2: Convert to fraction form
    3,919.39/5,879.12 = 997.71/x
  3. Step 3: Cross multiply
    3,919.39x = 5,879.12 × 997.71
  4. Step 4: Simplify right side
    3,919.39x = 5,865,656.82
  5. Step 5: Solve for x
    x = 5,865,656.82/3,919.39
  6. Step 6: Final answer
    x = 1,496.57

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Double scale
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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.