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Finding the Fourth Proportional to 2,991.94, 4,487.84 and 800.62

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Solution

The fourth proportional to 2,991.94, 4,487.84 and 800.62 is: 1,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 4,487.84 = 800.62 : x
  2. Step 2: Convert to fraction form
    2,991.94/4,487.84 = 800.62/x
  3. Step 3: Cross multiply
    2,991.94x = 4,487.84 × 800.62
  4. Step 4: Simplify right side
    2,991.94x = 3,593,054.46
  5. Step 5: Solve for x
    x = 3,593,054.46/2,991.94
  6. Step 6: Final answer
    x = 1,200.91

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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.