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Finding the Fourth Proportional to 2,919.87, 4,379.91 and 728.61

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Solution

The fourth proportional to 2,919.87, 4,379.91 and 728.61 is: 1,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.87 : 4,379.91 = 728.61 : x
  2. Step 2: Convert to fraction form
    2,919.87/4,379.91 = 728.61/x
  3. Step 3: Cross multiply
    2,919.87x = 4,379.91 × 728.61
  4. Step 4: Simplify right side
    2,919.87x = 3,191,246.23
  5. Step 5: Solve for x
    x = 3,191,246.23/2,919.87
  6. Step 6: Final answer
    x = 1,092.94

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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.