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Finding the Fourth Proportional to 2,991.02, 4,486.09 and 799.94

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Solution

The fourth proportional to 2,991.02, 4,486.09 and 799.94 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.02 : 4,486.09 = 799.94 : x
  2. Step 2: Convert to fraction form
    2,991.02/4,486.09 = 799.94/x
  3. Step 3: Cross multiply
    2,991.02x = 4,486.09 × 799.94
  4. Step 4: Simplify right side
    2,991.02x = 3,588,602.83
  5. Step 5: Solve for x
    x = 3,588,602.83/2,991.02
  6. Step 6: Final answer
    x = 1,199.79

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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.