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Finding the Fourth Proportional to 1,808.10, 2,694.09 and 1,728.50

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Solution

The fourth proportional to 1,808.10, 2,694.09 and 1,728.50 is: 2,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.10 : 2,694.09 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    1,808.10/2,694.09 = 1,728.50/x
  3. Step 3: Cross multiply
    1,808.10x = 2,694.09 × 1,728.50
  4. Step 4: Simplify right side
    1,808.10x = 4,656,734.57
  5. Step 5: Solve for x
    x = 4,656,734.57/1,808.10
  6. Step 6: Final answer
    x = 2,575.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.