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Finding the Fourth Proportional to 3,185.80, 4,778.88 and 994.84

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Solution

The fourth proportional to 3,185.80, 4,778.88 and 994.84 is: 1,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.80 : 4,778.88 = 994.84 : x
  2. Step 2: Convert to fraction form
    3,185.80/4,778.88 = 994.84/x
  3. Step 3: Cross multiply
    3,185.80x = 4,778.88 × 994.84
  4. Step 4: Simplify right side
    3,185.80x = 4,754,220.98
  5. Step 5: Solve for x
    x = 4,754,220.98/3,185.80
  6. Step 6: Final answer
    x = 1,492.32

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1.5x scale

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.