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Finding the Fourth Proportional to 2,919.96, 4,379.94 and 1,188.54

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Solution

The fourth proportional to 2,919.96, 4,379.94 and 1,188.54 is: 1,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.96 : 4,379.94 = 1,188.54 : x
  2. Step 2: Convert to fraction form
    2,919.96/4,379.94 = 1,188.54/x
  3. Step 3: Cross multiply
    2,919.96x = 4,379.94 × 1,188.54
  4. Step 4: Simplify right side
    2,919.96x = 5,205,733.89
  5. Step 5: Solve for x
    x = 5,205,733.89/2,919.96
  6. Step 6: Final answer
    x = 1,782.81

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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.