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Finding the Fourth Proportional to 7,999, 12,002.82 and 3,895

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Solution

The fourth proportional to 7,999, 12,002.82 and 3,895 is: 5,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999 : 12,002.82 = 3,895 : x
  2. Step 2: Convert to fraction form
    7,999/12,002.82 = 3,895/x
  3. Step 3: Cross multiply
    7,999x = 12,002.82 × 3,895
  4. Step 4: Simplify right side
    7,999x = 46,750,983.90
  5. Step 5: Solve for x
    x = 46,750,983.90/7,999
  6. Step 6: Final answer
    x = 5,844.60

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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.