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Finding the Fourth Proportional to 8,296.27, 11,447.35 and 4,759.63

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Solution

The fourth proportional to 8,296.27, 11,447.35 and 4,759.63 is: 6,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.27 : 11,447.35 = 4,759.63 : x
  2. Step 2: Convert to fraction form
    8,296.27/11,447.35 = 4,759.63/x
  3. Step 3: Cross multiply
    8,296.27x = 11,447.35 × 4,759.63
  4. Step 4: Simplify right side
    8,296.27x = 54,485,150.48
  5. Step 5: Solve for x
    x = 54,485,150.48/8,296.27
  6. Step 6: Final answer
    x = 6,567.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.