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Finding the Fourth Proportional to 7,474.68, 11,209.40 and 2,208.28

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Solution

The fourth proportional to 7,474.68, 11,209.40 and 2,208.28 is: 3,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.68 : 11,209.40 = 2,208.28 : x
  2. Step 2: Convert to fraction form
    7,474.68/11,209.40 = 2,208.28/x
  3. Step 3: Cross multiply
    7,474.68x = 11,209.40 × 2,208.28
  4. Step 4: Simplify right side
    7,474.68x = 24,753,493.83
  5. Step 5: Solve for x
    x = 24,753,493.83/7,474.68
  6. Step 6: Final answer
    x = 3,311.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.