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Finding the Fourth Proportional to 13,191, 19,785.26 and 3,833.48

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Solution

The fourth proportional to 13,191, 19,785.26 and 3,833.48 is: 5,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191 : 19,785.26 = 3,833.48 : x
  2. Step 2: Convert to fraction form
    13,191/19,785.26 = 3,833.48/x
  3. Step 3: Cross multiply
    13,191x = 19,785.26 × 3,833.48
  4. Step 4: Simplify right side
    13,191x = 75,846,398.50
  5. Step 5: Solve for x
    x = 75,846,398.50/13,191
  6. Step 6: Final answer
    x = 5,749.86

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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.