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Finding the Fourth Proportional to 3,175.88, 4,763.82 and 984.78

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Solution

The fourth proportional to 3,175.88, 4,763.82 and 984.78 is: 1,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.88 : 4,763.82 = 984.78 : x
  2. Step 2: Convert to fraction form
    3,175.88/4,763.82 = 984.78/x
  3. Step 3: Cross multiply
    3,175.88x = 4,763.82 × 984.78
  4. Step 4: Simplify right side
    3,175.88x = 4,691,314.66
  5. Step 5: Solve for x
    x = 4,691,314.66/3,175.88
  6. Step 6: Final answer
    x = 1,477.17

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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.