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Finding the Fourth Proportional to 10,728.81, 16,067.22 and 5,449.93

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Solution

The fourth proportional to 10,728.81, 16,067.22 and 5,449.93 is: 8,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.81 : 16,067.22 = 5,449.93 : x
  2. Step 2: Convert to fraction form
    10,728.81/16,067.22 = 5,449.93/x
  3. Step 3: Cross multiply
    10,728.81x = 16,067.22 × 5,449.93
  4. Step 4: Simplify right side
    10,728.81x = 87,565,224.29
  5. Step 5: Solve for x
    x = 87,565,224.29/10,728.81
  6. Step 6: Final answer
    x = 8,161.69

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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.