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Finding the Fourth Proportional to 3,462.85, 5,187.85 and 1,900.56

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Solution

The fourth proportional to 3,462.85, 5,187.85 and 1,900.56 is: 2,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.85 : 5,187.85 = 1,900.56 : x
  2. Step 2: Convert to fraction form
    3,462.85/5,187.85 = 1,900.56/x
  3. Step 3: Cross multiply
    3,462.85x = 5,187.85 × 1,900.56
  4. Step 4: Simplify right side
    3,462.85x = 9,859,834.90
  5. Step 5: Solve for x
    x = 9,859,834.90/3,462.85
  6. Step 6: Final answer
    x = 2,847.32

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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.