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Finding the Fourth Proportional to 2,791.23, 4,186.69 and 711.30

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Solution

The fourth proportional to 2,791.23, 4,186.69 and 711.30 is: 1,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.23 : 4,186.69 = 711.30 : x
  2. Step 2: Convert to fraction form
    2,791.23/4,186.69 = 711.30/x
  3. Step 3: Cross multiply
    2,791.23x = 4,186.69 × 711.30
  4. Step 4: Simplify right side
    2,791.23x = 2,977,992.60
  5. Step 5: Solve for x
    x = 2,977,992.60/2,791.23
  6. Step 6: Final answer
    x = 1,066.91

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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.