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Finding the Fourth Proportional to 7,994.34, 11,991.53 and 2,799

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Solution

The fourth proportional to 7,994.34, 11,991.53 and 2,799 is: 4,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.34 : 11,991.53 = 2,799 : x
  2. Step 2: Convert to fraction form
    7,994.34/11,991.53 = 2,799/x
  3. Step 3: Cross multiply
    7,994.34x = 11,991.53 × 2,799
  4. Step 4: Simplify right side
    7,994.34x = 33,564,278.48
  5. Step 5: Solve for x
    x = 33,564,278.48/7,994.34
  6. Step 6: Final answer
    x = 4,198.51

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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.