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Finding the Fourth Proportional to 7,985.25, 11,978.08 and 2,791.13

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Solution

The fourth proportional to 7,985.25, 11,978.08 and 2,791.13 is: 4,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.25 : 11,978.08 = 2,791.13 : x
  2. Step 2: Convert to fraction form
    7,985.25/11,978.08 = 2,791.13/x
  3. Step 3: Cross multiply
    7,985.25x = 11,978.08 × 2,791.13
  4. Step 4: Simplify right side
    7,985.25x = 33,432,311.56
  5. Step 5: Solve for x
    x = 33,432,311.56/7,985.25
  6. Step 6: Final answer
    x = 4,186.76

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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.