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Finding the Fourth Proportional to 13,832.15, 20,743.42 and 8,559.10

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Solution

The fourth proportional to 13,832.15, 20,743.42 and 8,559.10 is: 12,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.15 : 20,743.42 = 8,559.10 : x
  2. Step 2: Convert to fraction form
    13,832.15/20,743.42 = 8,559.10/x
  3. Step 3: Cross multiply
    13,832.15x = 20,743.42 × 8,559.10
  4. Step 4: Simplify right side
    13,832.15x = 177,544,902.40
  5. Step 5: Solve for x
    x = 177,544,902.40/13,832.15
  6. Step 6: Final answer
    x = 12,835.67

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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.