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Finding the Fourth Proportional to 5,472.74, 8,205 and 3,389.56

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Solution

The fourth proportional to 5,472.74, 8,205 and 3,389.56 is: 5,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.74 : 8,205 = 3,389.56 : x
  2. Step 2: Convert to fraction form
    5,472.74/8,205 = 3,389.56/x
  3. Step 3: Cross multiply
    5,472.74x = 8,205 × 3,389.56
  4. Step 4: Simplify right side
    5,472.74x = 27,811,339.80
  5. Step 5: Solve for x
    x = 27,811,339.80/5,472.74
  6. Step 6: Final answer
    x = 5,081.79

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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.