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Finding the Fourth Proportional to 3,151.98, 4,723.30 and 2,805.96

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Solution

The fourth proportional to 3,151.98, 4,723.30 and 2,805.96 is: 4,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.98 : 4,723.30 = 2,805.96 : x
  2. Step 2: Convert to fraction form
    3,151.98/4,723.30 = 2,805.96/x
  3. Step 3: Cross multiply
    3,151.98x = 4,723.30 × 2,805.96
  4. Step 4: Simplify right side
    3,151.98x = 13,253,390.87
  5. Step 5: Solve for x
    x = 13,253,390.87/3,151.98
  6. Step 6: Final answer
    x = 4,204.78

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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.