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Finding the Fourth Proportional to 13,957.74, 20,945.93 and 5,193.54

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Solution

The fourth proportional to 13,957.74, 20,945.93 and 5,193.54 is: 7,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.74 : 20,945.93 = 5,193.54 : x
  2. Step 2: Convert to fraction form
    13,957.74/20,945.93 = 5,193.54/x
  3. Step 3: Cross multiply
    13,957.74x = 20,945.93 × 5,193.54
  4. Step 4: Simplify right side
    13,957.74x = 108,783,499.32
  5. Step 5: Solve for x
    x = 108,783,499.32/13,957.74
  6. Step 6: Final answer
    x = 7,793.78

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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.