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Finding the Fourth Proportional to 16,015.77, 22,101.78 and 8,942.19

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Solution

The fourth proportional to 16,015.77, 22,101.78 and 8,942.19 is: 12,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.77 : 22,101.78 = 8,942.19 : x
  2. Step 2: Convert to fraction form
    16,015.77/22,101.78 = 8,942.19/x
  3. Step 3: Cross multiply
    16,015.77x = 22,101.78 × 8,942.19
  4. Step 4: Simplify right side
    16,015.77x = 197,638,316.10
  5. Step 5: Solve for x
    x = 197,638,316.10/16,015.77
  6. Step 6: Final answer
    x = 12,340.23

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Why These Related Problems?

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