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Finding the Fourth Proportional to 4,787.75, 7,175.07 and 3,616.79

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Solution

The fourth proportional to 4,787.75, 7,175.07 and 3,616.79 is: 5,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.75 : 7,175.07 = 3,616.79 : x
  2. Step 2: Convert to fraction form
    4,787.75/7,175.07 = 3,616.79/x
  3. Step 3: Cross multiply
    4,787.75x = 7,175.07 × 3,616.79
  4. Step 4: Simplify right side
    4,787.75x = 25,950,710.73
  5. Step 5: Solve for x
    x = 25,950,710.73/4,787.75
  6. Step 6: Final answer
    x = 5,420.24

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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.