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Finding the Fourth Proportional to 7,257.81, 10,893.41 and 4,489.90

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Solution

The fourth proportional to 7,257.81, 10,893.41 and 4,489.90 is: 6,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.81 : 10,893.41 = 4,489.90 : x
  2. Step 2: Convert to fraction form
    7,257.81/10,893.41 = 4,489.90/x
  3. Step 3: Cross multiply
    7,257.81x = 10,893.41 × 4,489.90
  4. Step 4: Simplify right side
    7,257.81x = 48,910,288.71
  5. Step 5: Solve for x
    x = 48,910,288.71/7,257.81
  6. Step 6: Final answer
    x = 6,738.98

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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.