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Finding the Fourth Proportional to 3,185.61, 4,778.82 and 994.16

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Solution

The fourth proportional to 3,185.61, 4,778.82 and 994.16 is: 1,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.61 : 4,778.82 = 994.16 : x
  2. Step 2: Convert to fraction form
    3,185.61/4,778.82 = 994.16/x
  3. Step 3: Cross multiply
    3,185.61x = 4,778.82 × 994.16
  4. Step 4: Simplify right side
    3,185.61x = 4,750,887.80
  5. Step 5: Solve for x
    x = 4,750,887.80/3,185.61
  6. Step 6: Final answer
    x = 1,491.36

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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.