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Finding the Fourth Proportional to 2,660.46, 3,991.50 and 1,362.84

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Solution

The fourth proportional to 2,660.46, 3,991.50 and 1,362.84 is: 2,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.46 : 3,991.50 = 1,362.84 : x
  2. Step 2: Convert to fraction form
    2,660.46/3,991.50 = 1,362.84/x
  3. Step 3: Cross multiply
    2,660.46x = 3,991.50 × 1,362.84
  4. Step 4: Simplify right side
    2,660.46x = 5,439,775.86
  5. Step 5: Solve for x
    x = 5,439,775.86/2,660.46
  6. Step 6: Final answer
    x = 2,044.67

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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.