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Finding the Fourth Proportional to 2,983.08, 4,474.28 and 791.98

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Solution

The fourth proportional to 2,983.08, 4,474.28 and 791.98 is: 1,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.08 : 4,474.28 = 791.98 : x
  2. Step 2: Convert to fraction form
    2,983.08/4,474.28 = 791.98/x
  3. Step 3: Cross multiply
    2,983.08x = 4,474.28 × 791.98
  4. Step 4: Simplify right side
    2,983.08x = 3,543,541.91
  5. Step 5: Solve for x
    x = 3,543,541.91/2,983.08
  6. Step 6: Final answer
    x = 1,187.88

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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.