Home / 13,740-18,961.20-7,771.54

Finding the Fourth Proportional to 13,740, 18,961.20 and 7,771.54

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Solution

The fourth proportional to 13,740, 18,961.20 and 7,771.54 is: 10,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 18,961.20 = 7,771.54 : x
  2. Step 2: Convert to fraction form
    13,740/18,961.20 = 7,771.54/x
  3. Step 3: Cross multiply
    13,740x = 18,961.20 × 7,771.54
  4. Step 4: Simplify right side
    13,740x = 147,357,743.68
  5. Step 5: Solve for x
    x = 147,357,743.68/13,740
  6. Step 6: Final answer
    x = 10,724.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.