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Finding the Fourth Proportional to 22,205.74, 30,643.86 and 12,134.24

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Solution

The fourth proportional to 22,205.74, 30,643.86 and 12,134.24 is: 16,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.74 : 30,643.86 = 12,134.24 : x
  2. Step 2: Convert to fraction form
    22,205.74/30,643.86 = 12,134.24/x
  3. Step 3: Cross multiply
    22,205.74x = 30,643.86 × 12,134.24
  4. Step 4: Simplify right side
    22,205.74x = 371,840,002.92
  5. Step 5: Solve for x
    x = 371,840,002.92/22,205.74
  6. Step 6: Final answer
    x = 16,745.22

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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.