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Finding the Fourth Proportional to 13,317, 19,975.86 and 4,083

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Solution

The fourth proportional to 13,317, 19,975.86 and 4,083 is: 6,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317 : 19,975.86 = 4,083 : x
  2. Step 2: Convert to fraction form
    13,317/19,975.86 = 4,083/x
  3. Step 3: Cross multiply
    13,317x = 19,975.86 × 4,083
  4. Step 4: Simplify right side
    13,317x = 81,561,436.38
  5. Step 5: Solve for x
    x = 81,561,436.38/13,317
  6. Step 6: Final answer
    x = 6,124.61

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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.