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Finding the Fourth Proportional to 8,014.12, 12,012 and 3,081.22

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Solution

The fourth proportional to 8,014.12, 12,012 and 3,081.22 is: 4,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.12 : 12,012 = 3,081.22 : x
  2. Step 2: Convert to fraction form
    8,014.12/12,012 = 3,081.22/x
  3. Step 3: Cross multiply
    8,014.12x = 12,012 × 3,081.22
  4. Step 4: Simplify right side
    8,014.12x = 37,011,614.64
  5. Step 5: Solve for x
    x = 37,011,614.64/8,014.12
  6. Step 6: Final answer
    x = 4,618.30

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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.