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Finding the Fourth Proportional to 2,351.65, 3,245.49 and 1,407.73

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Solution

The fourth proportional to 2,351.65, 3,245.49 and 1,407.73 is: 1,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.65 : 3,245.49 = 1,407.73 : x
  2. Step 2: Convert to fraction form
    2,351.65/3,245.49 = 1,407.73/x
  3. Step 3: Cross multiply
    2,351.65x = 3,245.49 × 1,407.73
  4. Step 4: Simplify right side
    2,351.65x = 4,568,773.64
  5. Step 5: Solve for x
    x = 4,568,773.64/2,351.65
  6. Step 6: Final answer
    x = 1,942.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.