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Finding the Fourth Proportional to 2,252.50, 3,379.09 and 791.40

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Solution

The fourth proportional to 2,252.50, 3,379.09 and 791.40 is: 1,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.50 : 3,379.09 = 791.40 : x
  2. Step 2: Convert to fraction form
    2,252.50/3,379.09 = 791.40/x
  3. Step 3: Cross multiply
    2,252.50x = 3,379.09 × 791.40
  4. Step 4: Simplify right side
    2,252.50x = 2,674,211.83
  5. Step 5: Solve for x
    x = 2,674,211.83/2,252.50
  6. Step 6: Final answer
    x = 1,187.22

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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.