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Finding the Fourth Proportional to 8,486.56, 12,722.64 and 4,107.16

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Solution

The fourth proportional to 8,486.56, 12,722.64 and 4,107.16 is: 6,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.56 : 12,722.64 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    8,486.56/12,722.64 = 4,107.16/x
  3. Step 3: Cross multiply
    8,486.56x = 12,722.64 × 4,107.16
  4. Step 4: Simplify right side
    8,486.56x = 52,253,918.10
  5. Step 5: Solve for x
    x = 52,253,918.10/8,486.56
  6. Step 6: Final answer
    x = 6,157.26

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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.