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Finding the Fourth Proportional to 2,522.54, 3,784.20 and 791

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Solution

The fourth proportional to 2,522.54, 3,784.20 and 791 is: 1,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.54 : 3,784.20 = 791 : x
  2. Step 2: Convert to fraction form
    2,522.54/3,784.20 = 791/x
  3. Step 3: Cross multiply
    2,522.54x = 3,784.20 × 791
  4. Step 4: Simplify right side
    2,522.54x = 2,993,302.20
  5. Step 5: Solve for x
    x = 2,993,302.20/2,522.54
  6. Step 6: Final answer
    x = 1,186.62

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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.