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Finding the Fourth Proportional to 3,919.90, 5,879.87 and 1,580.98

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Solution

The fourth proportional to 3,919.90, 5,879.87 and 1,580.98 is: 2,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.90 : 5,879.87 = 1,580.98 : x
  2. Step 2: Convert to fraction form
    3,919.90/5,879.87 = 1,580.98/x
  3. Step 3: Cross multiply
    3,919.90x = 5,879.87 × 1,580.98
  4. Step 4: Simplify right side
    3,919.90x = 9,295,956.87
  5. Step 5: Solve for x
    x = 9,295,956.87/3,919.90
  6. Step 6: Final answer
    x = 2,371.48

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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.