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Finding the Fourth Proportional to 20,433, 30,591.01 and 13,847.47

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Solution

The fourth proportional to 20,433, 30,591.01 and 13,847.47 is: 20,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433 : 30,591.01 = 13,847.47 : x
  2. Step 2: Convert to fraction form
    20,433/30,591.01 = 13,847.47/x
  3. Step 3: Cross multiply
    20,433x = 30,591.01 × 13,847.47
  4. Step 4: Simplify right side
    20,433x = 423,608,093.24
  5. Step 5: Solve for x
    x = 423,608,093.24/20,433
  6. Step 6: Final answer
    x = 20,731.57

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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.