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Finding the Fourth Proportional to 3,991.34, 5,986.13 and 1,179.47

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Solution

The fourth proportional to 3,991.34, 5,986.13 and 1,179.47 is: 1,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.34 : 5,986.13 = 1,179.47 : x
  2. Step 2: Convert to fraction form
    3,991.34/5,986.13 = 1,179.47/x
  3. Step 3: Cross multiply
    3,991.34x = 5,986.13 × 1,179.47
  4. Step 4: Simplify right side
    3,991.34x = 7,060,424.92
  5. Step 5: Solve for x
    x = 7,060,424.92/3,991.34
  6. Step 6: Final answer
    x = 1,768.94

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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.