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Finding the Fourth Proportional to 16,128.96, 22,249.60 and 10,149.44

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Solution

The fourth proportional to 16,128.96, 22,249.60 and 10,149.44 is: 14,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.96 : 22,249.60 = 10,149.44 : x
  2. Step 2: Convert to fraction form
    16,128.96/22,249.60 = 10,149.44/x
  3. Step 3: Cross multiply
    16,128.96x = 22,249.60 × 10,149.44
  4. Step 4: Simplify right side
    16,128.96x = 225,820,980.22
  5. Step 5: Solve for x
    x = 225,820,980.22/16,128.96
  6. Step 6: Final answer
    x = 14,000.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.