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Finding the Fourth Proportional to 8,074.62, 12,112.72 and 3,144.66

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Solution

The fourth proportional to 8,074.62, 12,112.72 and 3,144.66 is: 4,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.62 : 12,112.72 = 3,144.66 : x
  2. Step 2: Convert to fraction form
    8,074.62/12,112.72 = 3,144.66/x
  3. Step 3: Cross multiply
    8,074.62x = 12,112.72 × 3,144.66
  4. Step 4: Simplify right side
    8,074.62x = 38,090,386.08
  5. Step 5: Solve for x
    x = 38,090,386.08/8,074.62
  6. Step 6: Final answer
    x = 4,717.30

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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.