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Finding the Fourth Proportional to 13,379.08, 20,062 and 7,833.82

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Solution

The fourth proportional to 13,379.08, 20,062 and 7,833.82 is: 11,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.08 : 20,062 = 7,833.82 : x
  2. Step 2: Convert to fraction form
    13,379.08/20,062 = 7,833.82/x
  3. Step 3: Cross multiply
    13,379.08x = 20,062 × 7,833.82
  4. Step 4: Simplify right side
    13,379.08x = 157,162,096.84
  5. Step 5: Solve for x
    x = 157,162,096.84/13,379.08
  6. Step 6: Final answer
    x = 11,746.85

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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.