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Finding the Fourth Proportional to 2,685.53, 4,029.09 and 1,811.54

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Solution

The fourth proportional to 2,685.53, 4,029.09 and 1,811.54 is: 2,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.53 : 4,029.09 = 1,811.54 : x
  2. Step 2: Convert to fraction form
    2,685.53/4,029.09 = 1,811.54/x
  3. Step 3: Cross multiply
    2,685.53x = 4,029.09 × 1,811.54
  4. Step 4: Simplify right side
    2,685.53x = 7,298,857.70
  5. Step 5: Solve for x
    x = 7,298,857.70/2,685.53
  6. Step 6: Final answer
    x = 2,717.85

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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.