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Finding the Fourth Proportional to 3,900.85, 5,847.76 and 1,434

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Solution

The fourth proportional to 3,900.85, 5,847.76 and 1,434 is: 2,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.85 : 5,847.76 = 1,434 : x
  2. Step 2: Convert to fraction form
    3,900.85/5,847.76 = 1,434/x
  3. Step 3: Cross multiply
    3,900.85x = 5,847.76 × 1,434
  4. Step 4: Simplify right side
    3,900.85x = 8,385,687.84
  5. Step 5: Solve for x
    x = 8,385,687.84/3,900.85
  6. Step 6: Final answer
    x = 2,149.71

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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.