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Finding the Fourth Proportional to 23,709.75, 32,720.25 and 13,099.97

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Solution

The fourth proportional to 23,709.75, 32,720.25 and 13,099.97 is: 18,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.75 : 32,720.25 = 13,099.97 : x
  2. Step 2: Convert to fraction form
    23,709.75/32,720.25 = 13,099.97/x
  3. Step 3: Cross multiply
    23,709.75x = 32,720.25 × 13,099.97
  4. Step 4: Simplify right side
    23,709.75x = 428,634,129.79
  5. Step 5: Solve for x
    x = 428,634,129.79/23,709.75
  6. Step 6: Final answer
    x = 18,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.