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Finding the Fourth Proportional to 3,880.22, 5,814.54 and 1,687.74

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Solution

The fourth proportional to 3,880.22, 5,814.54 and 1,687.74 is: 2,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.22 : 5,814.54 = 1,687.74 : x
  2. Step 2: Convert to fraction form
    3,880.22/5,814.54 = 1,687.74/x
  3. Step 3: Cross multiply
    3,880.22x = 5,814.54 × 1,687.74
  4. Step 4: Simplify right side
    3,880.22x = 9,813,431.74
  5. Step 5: Solve for x
    x = 9,813,431.74/3,880.22
  6. Step 6: Final answer
    x = 2,529.09

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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.