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Finding the Fourth Proportional to 3,175.80, 4,763.88 and 984.84

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Solution

The fourth proportional to 3,175.80, 4,763.88 and 984.84 is: 1,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.80 : 4,763.88 = 984.84 : x
  2. Step 2: Convert to fraction form
    3,175.80/4,763.88 = 984.84/x
  3. Step 3: Cross multiply
    3,175.80x = 4,763.88 × 984.84
  4. Step 4: Simplify right side
    3,175.80x = 4,691,659.58
  5. Step 5: Solve for x
    x = 4,691,659.58/3,175.80
  6. Step 6: Final answer
    x = 1,477.32

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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.