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Finding the Fourth Proportional to 8,505.57, 12,757.23 and 3,239.16

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Solution

The fourth proportional to 8,505.57, 12,757.23 and 3,239.16 is: 4,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.57 : 12,757.23 = 3,239.16 : x
  2. Step 2: Convert to fraction form
    8,505.57/12,757.23 = 3,239.16/x
  3. Step 3: Cross multiply
    8,505.57x = 12,757.23 × 3,239.16
  4. Step 4: Simplify right side
    8,505.57x = 41,322,709.13
  5. Step 5: Solve for x
    x = 41,322,709.13/8,505.57
  6. Step 6: Final answer
    x = 4,858.31

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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.