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Finding the Fourth Proportional to 3,155.65, 4,734.84 and 1,693.09

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Solution

The fourth proportional to 3,155.65, 4,734.84 and 1,693.09 is: 2,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.65 : 4,734.84 = 1,693.09 : x
  2. Step 2: Convert to fraction form
    3,155.65/4,734.84 = 1,693.09/x
  3. Step 3: Cross multiply
    3,155.65x = 4,734.84 × 1,693.09
  4. Step 4: Simplify right side
    3,155.65x = 8,016,519.90
  5. Step 5: Solve for x
    x = 8,016,519.90/3,155.65
  6. Step 6: Final answer
    x = 2,540.37

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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.