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Finding the Fourth Proportional to 13,864, 20,791.63 and 4,501.86

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Solution

The fourth proportional to 13,864, 20,791.63 and 4,501.86 is: 6,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 20,791.63 = 4,501.86 : x
  2. Step 2: Convert to fraction form
    13,864/20,791.63 = 4,501.86/x
  3. Step 3: Cross multiply
    13,864x = 20,791.63 × 4,501.86
  4. Step 4: Simplify right side
    13,864x = 93,601,007.43
  5. Step 5: Solve for x
    x = 93,601,007.43/13,864
  6. Step 6: Final answer
    x = 6,751.37

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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.