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Finding the Fourth Proportional to 16,022.96, 22,112.16 and 9,309.68

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Solution

The fourth proportional to 16,022.96, 22,112.16 and 9,309.68 is: 12,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.96 : 22,112.16 = 9,309.68 : x
  2. Step 2: Convert to fraction form
    16,022.96/22,112.16 = 9,309.68/x
  3. Step 3: Cross multiply
    16,022.96x = 22,112.16 × 9,309.68
  4. Step 4: Simplify right side
    16,022.96x = 205,857,133.71
  5. Step 5: Solve for x
    x = 205,857,133.71/16,022.96
  6. Step 6: Final answer
    x = 12,847.63

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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.