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Finding the Fourth Proportional to 2,723.25, 4,084.80 and 874.49

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Solution

The fourth proportional to 2,723.25, 4,084.80 and 874.49 is: 1,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.25 : 4,084.80 = 874.49 : x
  2. Step 2: Convert to fraction form
    2,723.25/4,084.80 = 874.49/x
  3. Step 3: Cross multiply
    2,723.25x = 4,084.80 × 874.49
  4. Step 4: Simplify right side
    2,723.25x = 3,572,116.75
  5. Step 5: Solve for x
    x = 3,572,116.75/2,723.25
  6. Step 6: Final answer
    x = 1,311.71

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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.