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Finding the Fourth Proportional to 13,855.65, 20,791.67 and 5,096.71

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Solution

The fourth proportional to 13,855.65, 20,791.67 and 5,096.71 is: 7,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.65 : 20,791.67 = 5,096.71 : x
  2. Step 2: Convert to fraction form
    13,855.65/20,791.67 = 5,096.71/x
  3. Step 3: Cross multiply
    13,855.65x = 20,791.67 × 5,096.71
  4. Step 4: Simplify right side
    13,855.65x = 105,969,112.41
  5. Step 5: Solve for x
    x = 105,969,112.41/13,855.65
  6. Step 6: Final answer
    x = 7,648.08

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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.