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Finding the Fourth Proportional to 7,994.96, 11,991.93 and 2,447.78

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Solution

The fourth proportional to 7,994.96, 11,991.93 and 2,447.78 is: 3,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.96 : 11,991.93 = 2,447.78 : x
  2. Step 2: Convert to fraction form
    7,994.96/11,991.93 = 2,447.78/x
  3. Step 3: Cross multiply
    7,994.96x = 11,991.93 × 2,447.78
  4. Step 4: Simplify right side
    7,994.96x = 29,353,546.46
  5. Step 5: Solve for x
    x = 29,353,546.46/7,994.96
  6. Step 6: Final answer
    x = 3,671.51

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1.5x scale

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.