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Finding the Fourth Proportional to 3,782.80, 5,674.20 and 1,474.30

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Solution

The fourth proportional to 3,782.80, 5,674.20 and 1,474.30 is: 2,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.80 : 5,674.20 = 1,474.30 : x
  2. Step 2: Convert to fraction form
    3,782.80/5,674.20 = 1,474.30/x
  3. Step 3: Cross multiply
    3,782.80x = 5,674.20 × 1,474.30
  4. Step 4: Simplify right side
    3,782.80x = 8,365,473.06
  5. Step 5: Solve for x
    x = 8,365,473.06/3,782.80
  6. Step 6: Final answer
    x = 2,211.45

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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.