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Finding the Fourth Proportional to 9,326, 13,990.92 and 3,854

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Solution

The fourth proportional to 9,326, 13,990.92 and 3,854 is: 5,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326 : 13,990.92 = 3,854 : x
  2. Step 2: Convert to fraction form
    9,326/13,990.92 = 3,854/x
  3. Step 3: Cross multiply
    9,326x = 13,990.92 × 3,854
  4. Step 4: Simplify right side
    9,326x = 53,921,005.68
  5. Step 5: Solve for x
    x = 53,921,005.68/9,326
  6. Step 6: Final answer
    x = 5,781.79

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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.