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Finding the Fourth Proportional to 3,911.41, 5,867.72 and 1,314.96

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Solution

The fourth proportional to 3,911.41, 5,867.72 and 1,314.96 is: 1,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.41 : 5,867.72 = 1,314.96 : x
  2. Step 2: Convert to fraction form
    3,911.41/5,867.72 = 1,314.96/x
  3. Step 3: Cross multiply
    3,911.41x = 5,867.72 × 1,314.96
  4. Step 4: Simplify right side
    3,911.41x = 7,715,817.09
  5. Step 5: Solve for x
    x = 7,715,817.09/3,911.41
  6. Step 6: Final answer
    x = 1,972.64

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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.