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Finding the Fourth Proportional to 3,771.82, 5,656.38 and 1,305.98

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Solution

The fourth proportional to 3,771.82, 5,656.38 and 1,305.98 is: 1,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.82 : 5,656.38 = 1,305.98 : x
  2. Step 2: Convert to fraction form
    3,771.82/5,656.38 = 1,305.98/x
  3. Step 3: Cross multiply
    3,771.82x = 5,656.38 × 1,305.98
  4. Step 4: Simplify right side
    3,771.82x = 7,387,119.15
  5. Step 5: Solve for x
    x = 7,387,119.15/3,771.82
  6. Step 6: Final answer
    x = 1,958.50

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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.