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Finding the Fourth Proportional to 11,769.81, 17,652.84 and 3,447.87

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Solution

The fourth proportional to 11,769.81, 17,652.84 and 3,447.87 is: 5,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.81 : 17,652.84 = 3,447.87 : x
  2. Step 2: Convert to fraction form
    11,769.81/17,652.84 = 3,447.87/x
  3. Step 3: Cross multiply
    11,769.81x = 17,652.84 × 3,447.87
  4. Step 4: Simplify right side
    11,769.81x = 60,864,697.45
  5. Step 5: Solve for x
    x = 60,864,697.45/11,769.81
  6. Step 6: Final answer
    x = 5,171.26

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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.