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Finding the Fourth Proportional to 2,482.44, 3,723.66 and 838.83

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Solution

The fourth proportional to 2,482.44, 3,723.66 and 838.83 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.44 : 3,723.66 = 838.83 : x
  2. Step 2: Convert to fraction form
    2,482.44/3,723.66 = 838.83/x
  3. Step 3: Cross multiply
    2,482.44x = 3,723.66 × 838.83
  4. Step 4: Simplify right side
    2,482.44x = 3,123,517.72
  5. Step 5: Solve for x
    x = 3,123,517.72/2,482.44
  6. Step 6: Final answer
    x = 1,258.25

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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.