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Finding the Fourth Proportional to 13,940.50, 20,917.92 and 9,263.74

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Solution

The fourth proportional to 13,940.50, 20,917.92 and 9,263.74 is: 13,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.50 : 20,917.92 = 9,263.74 : x
  2. Step 2: Convert to fraction form
    13,940.50/20,917.92 = 9,263.74/x
  3. Step 3: Cross multiply
    13,940.50x = 20,917.92 × 9,263.74
  4. Step 4: Simplify right side
    13,940.50x = 193,778,172.22
  5. Step 5: Solve for x
    x = 193,778,172.22/13,940.50
  6. Step 6: Final answer
    x = 13,900.37

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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.