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Finding the Fourth Proportional to 2,909.83, 4,016.73 and 1,791.22

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Solution

The fourth proportional to 2,909.83, 4,016.73 and 1,791.22 is: 2,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.83 : 4,016.73 = 1,791.22 : x
  2. Step 2: Convert to fraction form
    2,909.83/4,016.73 = 1,791.22/x
  3. Step 3: Cross multiply
    2,909.83x = 4,016.73 × 1,791.22
  4. Step 4: Simplify right side
    2,909.83x = 7,194,847.11
  5. Step 5: Solve for x
    x = 7,194,847.11/2,909.83
  6. Step 6: Final answer
    x = 2,472.60

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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.