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Finding the Fourth Proportional to 22,302.14, 30,777.30 and 12,231.50

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Solution

The fourth proportional to 22,302.14, 30,777.30 and 12,231.50 is: 16,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.14 : 30,777.30 = 12,231.50 : x
  2. Step 2: Convert to fraction form
    22,302.14/30,777.30 = 12,231.50/x
  3. Step 3: Cross multiply
    22,302.14x = 30,777.30 × 12,231.50
  4. Step 4: Simplify right side
    22,302.14x = 376,452,544.95
  5. Step 5: Solve for x
    x = 376,452,544.95/22,302.14
  6. Step 6: Final answer
    x = 16,879.66

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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.