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Finding the Fourth Proportional to 1,891.75, 2,840.10 and 1,660.90

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Solution

The fourth proportional to 1,891.75, 2,840.10 and 1,660.90 is: 2,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.75 : 2,840.10 = 1,660.90 : x
  2. Step 2: Convert to fraction form
    1,891.75/2,840.10 = 1,660.90/x
  3. Step 3: Cross multiply
    1,891.75x = 2,840.10 × 1,660.90
  4. Step 4: Simplify right side
    1,891.75x = 4,717,122.09
  5. Step 5: Solve for x
    x = 4,717,122.09/1,891.75
  6. Step 6: Final answer
    x = 2,493.52

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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.