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Finding the Fourth Proportional to 2,119.77, 3,179.80 and 733.24

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Solution

The fourth proportional to 2,119.77, 3,179.80 and 733.24 is: 1,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.77 : 3,179.80 = 733.24 : x
  2. Step 2: Convert to fraction form
    2,119.77/3,179.80 = 733.24/x
  3. Step 3: Cross multiply
    2,119.77x = 3,179.80 × 733.24
  4. Step 4: Simplify right side
    2,119.77x = 2,331,552.89
  5. Step 5: Solve for x
    x = 2,331,552.89/2,119.77
  6. Step 6: Final answer
    x = 1,099.91

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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.