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Finding the Fourth Proportional to 3,271.14, 4,905.97 and 931.09

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Solution

The fourth proportional to 3,271.14, 4,905.97 and 931.09 is: 1,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.14 : 4,905.97 = 931.09 : x
  2. Step 2: Convert to fraction form
    3,271.14/4,905.97 = 931.09/x
  3. Step 3: Cross multiply
    3,271.14x = 4,905.97 × 931.09
  4. Step 4: Simplify right side
    3,271.14x = 4,567,910.21
  5. Step 5: Solve for x
    x = 4,567,910.21/3,271.14
  6. Step 6: Final answer
    x = 1,396.43

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1.5x scale

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.