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Finding the Fourth Proportional to 43,591.75, 65,388.23 and 12,427

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Solution

The fourth proportional to 43,591.75, 65,388.23 and 12,427 is: 18,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,591.75 : 65,388.23 = 12,427 : x
  2. Step 2: Convert to fraction form
    43,591.75/65,388.23 = 12,427/x
  3. Step 3: Cross multiply
    43,591.75x = 65,388.23 × 12,427
  4. Step 4: Simplify right side
    43,591.75x = 812,579,565.28
  5. Step 5: Solve for x
    x = 812,579,565.28/43,591.75
  6. Step 6: Final answer
    x = 18,640.67

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Why These Related Problems?

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