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Finding the Fourth Proportional to 13,696.74, 20,540.88 and 5,374.80

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Solution

The fourth proportional to 13,696.74, 20,540.88 and 5,374.80 is: 8,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.74 : 20,540.88 = 5,374.80 : x
  2. Step 2: Convert to fraction form
    13,696.74/20,540.88 = 5,374.80/x
  3. Step 3: Cross multiply
    13,696.74x = 20,540.88 × 5,374.80
  4. Step 4: Simplify right side
    13,696.74x = 110,403,121.82
  5. Step 5: Solve for x
    x = 110,403,121.82/13,696.74
  6. Step 6: Final answer
    x = 8,060.54

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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.