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Finding the Fourth Proportional to 3,900.76, 5,383.14 and 2,132.50

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Solution

The fourth proportional to 3,900.76, 5,383.14 and 2,132.50 is: 2,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.76 : 5,383.14 = 2,132.50 : x
  2. Step 2: Convert to fraction form
    3,900.76/5,383.14 = 2,132.50/x
  3. Step 3: Cross multiply
    3,900.76x = 5,383.14 × 2,132.50
  4. Step 4: Simplify right side
    3,900.76x = 11,479,546.05
  5. Step 5: Solve for x
    x = 11,479,546.05/3,900.76
  6. Step 6: Final answer
    x = 2,942.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.