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Finding the Fourth Proportional to 14,188.83, 19,579.87 and 8,222.42

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Solution

The fourth proportional to 14,188.83, 19,579.87 and 8,222.42 is: 11,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.83 : 19,579.87 = 8,222.42 : x
  2. Step 2: Convert to fraction form
    14,188.83/19,579.87 = 8,222.42/x
  3. Step 3: Cross multiply
    14,188.83x = 19,579.87 × 8,222.42
  4. Step 4: Simplify right side
    14,188.83x = 160,993,914.69
  5. Step 5: Solve for x
    x = 160,993,914.69/14,188.83
  6. Step 6: Final answer
    x = 11,346.53

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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.