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Finding the Fourth Proportional to 8,463.64, 12,687.42 and 3,268.36

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Solution

The fourth proportional to 8,463.64, 12,687.42 and 3,268.36 is: 4,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.64 : 12,687.42 = 3,268.36 : x
  2. Step 2: Convert to fraction form
    8,463.64/12,687.42 = 3,268.36/x
  3. Step 3: Cross multiply
    8,463.64x = 12,687.42 × 3,268.36
  4. Step 4: Simplify right side
    8,463.64x = 41,467,056.03
  5. Step 5: Solve for x
    x = 41,467,056.03/8,463.64
  6. Step 6: Final answer
    x = 4,899.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.