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Finding the Fourth Proportional to 13,836.54, 20,765.87 and 7,174.93

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Solution

The fourth proportional to 13,836.54, 20,765.87 and 7,174.93 is: 10,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.54 : 20,765.87 = 7,174.93 : x
  2. Step 2: Convert to fraction form
    13,836.54/20,765.87 = 7,174.93/x
  3. Step 3: Cross multiply
    13,836.54x = 20,765.87 × 7,174.93
  4. Step 4: Simplify right side
    13,836.54x = 148,993,641.69
  5. Step 5: Solve for x
    x = 148,993,641.69/13,836.54
  6. Step 6: Final answer
    x = 10,768.13

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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.