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Finding the Fourth Proportional to 13,360.96, 18,446.50 and 8,582.82

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Solution

The fourth proportional to 13,360.96, 18,446.50 and 8,582.82 is: 11,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,360.96 : 18,446.50 = 8,582.82 : x
  2. Step 2: Convert to fraction form
    13,360.96/18,446.50 = 8,582.82/x
  3. Step 3: Cross multiply
    13,360.96x = 18,446.50 × 8,582.82
  4. Step 4: Simplify right side
    13,360.96x = 158,322,989.13
  5. Step 5: Solve for x
    x = 158,322,989.13/13,360.96
  6. Step 6: Final answer
    x = 11,849.67

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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.