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Finding the Fourth Proportional to 8,012.67, 12,019 and 3,850.08

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Solution

The fourth proportional to 8,012.67, 12,019 and 3,850.08 is: 5,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.67 : 12,019 = 3,850.08 : x
  2. Step 2: Convert to fraction form
    8,012.67/12,019 = 3,850.08/x
  3. Step 3: Cross multiply
    8,012.67x = 12,019 × 3,850.08
  4. Step 4: Simplify right side
    8,012.67x = 46,274,111.52
  5. Step 5: Solve for x
    x = 46,274,111.52/8,012.67
  6. Step 6: Final answer
    x = 5,775.12

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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.