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Finding the Fourth Proportional to 11,769.77, 17,654.11 and 3,978.65

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Solution

The fourth proportional to 11,769.77, 17,654.11 and 3,978.65 is: 5,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.77 : 17,654.11 = 3,978.65 : x
  2. Step 2: Convert to fraction form
    11,769.77/17,654.11 = 3,978.65/x
  3. Step 3: Cross multiply
    11,769.77x = 17,654.11 × 3,978.65
  4. Step 4: Simplify right side
    11,769.77x = 70,239,524.75
  5. Step 5: Solve for x
    x = 70,239,524.75/11,769.77
  6. Step 6: Final answer
    x = 5,967.79

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1.5x scale

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.