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Finding the Fourth Proportional to 4,687.75, 6,468.42 and 3,982.42

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Solution

The fourth proportional to 4,687.75, 6,468.42 and 3,982.42 is: 5,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.75 : 6,468.42 = 3,982.42 : x
  2. Step 2: Convert to fraction form
    4,687.75/6,468.42 = 3,982.42/x
  3. Step 3: Cross multiply
    4,687.75x = 6,468.42 × 3,982.42
  4. Step 4: Simplify right side
    4,687.75x = 25,759,965.18
  5. Step 5: Solve for x
    x = 25,759,965.18/4,687.75
  6. Step 6: Final answer
    x = 5,495.17

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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.