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Finding the Fourth Proportional to 3,952.80, 5,922.72 and 3,084.48

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Solution

The fourth proportional to 3,952.80, 5,922.72 and 3,084.48 is: 4,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,922.72 = 3,084.48 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,922.72 = 3,084.48/x
  3. Step 3: Cross multiply
    3,952.80x = 5,922.72 × 3,084.48
  4. Step 4: Simplify right side
    3,952.80x = 18,268,511.39
  5. Step 5: Solve for x
    x = 18,268,511.39/3,952.80
  6. Step 6: Final answer
    x = 4,621.66

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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.