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Finding the Fourth Proportional to 2,991.23, 4,486.88 and 799.93

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Solution

The fourth proportional to 2,991.23, 4,486.88 and 799.93 is: 1,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.23 : 4,486.88 = 799.93 : x
  2. Step 2: Convert to fraction form
    2,991.23/4,486.88 = 799.93/x
  3. Step 3: Cross multiply
    2,991.23x = 4,486.88 × 799.93
  4. Step 4: Simplify right side
    2,991.23x = 3,589,180.70
  5. Step 5: Solve for x
    x = 3,589,180.70/2,991.23
  6. Step 6: Final answer
    x = 1,199.90

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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.