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Finding the Fourth Proportional to 12,184.96, 18,262.80 and 5,609.92

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Solution

The fourth proportional to 12,184.96, 18,262.80 and 5,609.92 is: 8,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.96 : 18,262.80 = 5,609.92 : x
  2. Step 2: Convert to fraction form
    12,184.96/18,262.80 = 5,609.92/x
  3. Step 3: Cross multiply
    12,184.96x = 18,262.80 × 5,609.92
  4. Step 4: Simplify right side
    12,184.96x = 102,452,846.98
  5. Step 5: Solve for x
    x = 102,452,846.98/12,184.96
  6. Step 6: Final answer
    x = 8,408.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.