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Finding the Fourth Proportional to 7,574.28, 11,354.88 and 3,194.88

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Solution

The fourth proportional to 7,574.28, 11,354.88 and 3,194.88 is: 4,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.28 : 11,354.88 = 3,194.88 : x
  2. Step 2: Convert to fraction form
    7,574.28/11,354.88 = 3,194.88/x
  3. Step 3: Cross multiply
    7,574.28x = 11,354.88 × 3,194.88
  4. Step 4: Simplify right side
    7,574.28x = 36,277,479.01
  5. Step 5: Solve for x
    x = 36,277,479.01/7,574.28
  6. Step 6: Final answer
    x = 4,789.56

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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.