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Finding the Fourth Proportional to 8,489.64, 11,716.03 and 5,131.79

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Solution

The fourth proportional to 8,489.64, 11,716.03 and 5,131.79 is: 7,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.64 : 11,716.03 = 5,131.79 : x
  2. Step 2: Convert to fraction form
    8,489.64/11,716.03 = 5,131.79/x
  3. Step 3: Cross multiply
    8,489.64x = 11,716.03 × 5,131.79
  4. Step 4: Simplify right side
    8,489.64x = 60,124,121.35
  5. Step 5: Solve for x
    x = 60,124,121.35/8,489.64
  6. Step 6: Final answer
    x = 7,082.06

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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.