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Finding the Fourth Proportional to 7,978.10, 11,962.08 and 2,712.69

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Solution

The fourth proportional to 7,978.10, 11,962.08 and 2,712.69 is: 4,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.10 : 11,962.08 = 2,712.69 : x
  2. Step 2: Convert to fraction form
    7,978.10/11,962.08 = 2,712.69/x
  3. Step 3: Cross multiply
    7,978.10x = 11,962.08 × 2,712.69
  4. Step 4: Simplify right side
    7,978.10x = 32,449,414.80
  5. Step 5: Solve for x
    x = 32,449,414.80/7,978.10
  6. Step 6: Final answer
    x = 4,067.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.