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Finding the Fourth Proportional to 22,182.50, 30,611.94 and 12,111.14

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Solution

The fourth proportional to 22,182.50, 30,611.94 and 12,111.14 is: 16,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.50 : 30,611.94 = 12,111.14 : x
  2. Step 2: Convert to fraction form
    22,182.50/30,611.94 = 12,111.14/x
  3. Step 3: Cross multiply
    22,182.50x = 30,611.94 × 12,111.14
  4. Step 4: Simplify right side
    22,182.50x = 370,745,491.01
  5. Step 5: Solve for x
    x = 370,745,491.01/22,182.50
  6. Step 6: Final answer
    x = 16,713.42

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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.