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Finding the Fourth Proportional to 2,179.77, 3,269.30 and 1,811.93

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Solution

The fourth proportional to 2,179.77, 3,269.30 and 1,811.93 is: 2,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.77 : 3,269.30 = 1,811.93 : x
  2. Step 2: Convert to fraction form
    2,179.77/3,269.30 = 1,811.93/x
  3. Step 3: Cross multiply
    2,179.77x = 3,269.30 × 1,811.93
  4. Step 4: Simplify right side
    2,179.77x = 5,923,742.75
  5. Step 5: Solve for x
    x = 5,923,742.75/2,179.77
  6. Step 6: Final answer
    x = 2,717.60

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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.