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Finding the Fourth Proportional to 8,454.54, 11,656.13 and 6,936.54

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Solution

The fourth proportional to 8,454.54, 11,656.13 and 6,936.54 is: 9,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.54 : 11,656.13 = 6,936.54 : x
  2. Step 2: Convert to fraction form
    8,454.54/11,656.13 = 6,936.54/x
  3. Step 3: Cross multiply
    8,454.54x = 11,656.13 × 6,936.54
  4. Step 4: Simplify right side
    8,454.54x = 80,853,177.31
  5. Step 5: Solve for x
    x = 80,853,177.31/8,454.54
  6. Step 6: Final answer
    x = 9,563.29

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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.