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Finding the Fourth Proportional to 8,506.73, 11,739.27 and 4,729.78

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Solution

The fourth proportional to 8,506.73, 11,739.27 and 4,729.78 is: 6,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.73 : 11,739.27 = 4,729.78 : x
  2. Step 2: Convert to fraction form
    8,506.73/11,739.27 = 4,729.78/x
  3. Step 3: Cross multiply
    8,506.73x = 11,739.27 × 4,729.78
  4. Step 4: Simplify right side
    8,506.73x = 55,524,164.46
  5. Step 5: Solve for x
    x = 55,524,164.46/8,506.73
  6. Step 6: Final answer
    x = 6,527.09

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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.