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Finding the Fourth Proportional to 8,268, 11,410.08 and 4,542.24

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Solution

The fourth proportional to 8,268, 11,410.08 and 4,542.24 is: 6,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268 : 11,410.08 = 4,542.24 : x
  2. Step 2: Convert to fraction form
    8,268/11,410.08 = 4,542.24/x
  3. Step 3: Cross multiply
    8,268x = 11,410.08 × 4,542.24
  4. Step 4: Simplify right side
    8,268x = 51,827,321.78
  5. Step 5: Solve for x
    x = 51,827,321.78/8,268
  6. Step 6: Final answer
    x = 6,268.42

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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.