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Finding the Fourth Proportional to 2,991.76, 4,489.99 and 2,073.77

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Solution

The fourth proportional to 2,991.76, 4,489.99 and 2,073.77 is: 3,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.76 : 4,489.99 = 2,073.77 : x
  2. Step 2: Convert to fraction form
    2,991.76/4,489.99 = 2,073.77/x
  3. Step 3: Cross multiply
    2,991.76x = 4,489.99 × 2,073.77
  4. Step 4: Simplify right side
    2,991.76x = 9,311,206.56
  5. Step 5: Solve for x
    x = 9,311,206.56/2,991.76
  6. Step 6: Final answer
    x = 3,112.28

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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.