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Finding the Fourth Proportional to 8,451, 12,676.50 and 2,979

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Solution

The fourth proportional to 8,451, 12,676.50 and 2,979 is: 4,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 12,676.50 = 2,979 : x
  2. Step 2: Convert to fraction form
    8,451/12,676.50 = 2,979/x
  3. Step 3: Cross multiply
    8,451x = 12,676.50 × 2,979
  4. Step 4: Simplify right side
    8,451x = 37,763,293.50
  5. Step 5: Solve for x
    x = 37,763,293.50/8,451
  6. Step 6: Final answer
    x = 4,468.50

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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.