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Finding the Fourth Proportional to 8,519.43, 11,756.61 and 4,742.61

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Solution

The fourth proportional to 8,519.43, 11,756.61 and 4,742.61 is: 6,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.43 : 11,756.61 = 4,742.61 : x
  2. Step 2: Convert to fraction form
    8,519.43/11,756.61 = 4,742.61/x
  3. Step 3: Cross multiply
    8,519.43x = 11,756.61 × 4,742.61
  4. Step 4: Simplify right side
    8,519.43x = 55,757,016.15
  5. Step 5: Solve for x
    x = 55,757,016.15/8,519.43
  6. Step 6: Final answer
    x = 6,544.69

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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.