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Finding the Fourth Proportional to 2,178.43, 3,266.79 and 791.53

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Solution

The fourth proportional to 2,178.43, 3,266.79 and 791.53 is: 1,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.43 : 3,266.79 = 791.53 : x
  2. Step 2: Convert to fraction form
    2,178.43/3,266.79 = 791.53/x
  3. Step 3: Cross multiply
    2,178.43x = 3,266.79 × 791.53
  4. Step 4: Simplify right side
    2,178.43x = 2,585,762.29
  5. Step 5: Solve for x
    x = 2,585,762.29/2,178.43
  6. Step 6: Final answer
    x = 1,186.98

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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.