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Finding the Fourth Proportional to 3,271.32, 4,906.02 and 931.20

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Solution

The fourth proportional to 3,271.32, 4,906.02 and 931.20 is: 1,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.32 : 4,906.02 = 931.20 : x
  2. Step 2: Convert to fraction form
    3,271.32/4,906.02 = 931.20/x
  3. Step 3: Cross multiply
    3,271.32x = 4,906.02 × 931.20
  4. Step 4: Simplify right side
    3,271.32x = 4,568,485.82
  5. Step 5: Solve for x
    x = 4,568,485.82/3,271.32
  6. Step 6: Final answer
    x = 1,396.53

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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.