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Finding the Fourth Proportional to 8,112, 12,174.12 and 4,216.08

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Solution

The fourth proportional to 8,112, 12,174.12 and 4,216.08 is: 6,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 12,174.12 = 4,216.08 : x
  2. Step 2: Convert to fraction form
    8,112/12,174.12 = 4,216.08/x
  3. Step 3: Cross multiply
    8,112x = 12,174.12 × 4,216.08
  4. Step 4: Simplify right side
    8,112x = 51,327,063.85
  5. Step 5: Solve for x
    x = 51,327,063.85/8,112
  6. Step 6: Final answer
    x = 6,327.30

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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.