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Finding the Fourth Proportional to 16,212.77, 22,373.24 and 9,139.24

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Solution

The fourth proportional to 16,212.77, 22,373.24 and 9,139.24 is: 12,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.77 : 22,373.24 = 9,139.24 : x
  2. Step 2: Convert to fraction form
    16,212.77/22,373.24 = 9,139.24/x
  3. Step 3: Cross multiply
    16,212.77x = 22,373.24 × 9,139.24
  4. Step 4: Simplify right side
    16,212.77x = 204,474,409.94
  5. Step 5: Solve for x
    x = 204,474,409.94/16,212.77
  6. Step 6: Final answer
    x = 12,611.94

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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.