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Finding the Fourth Proportional to 7,491.92, 11,238.14 and 2,811.45

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Solution

The fourth proportional to 7,491.92, 11,238.14 and 2,811.45 is: 4,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.92 : 11,238.14 = 2,811.45 : x
  2. Step 2: Convert to fraction form
    7,491.92/11,238.14 = 2,811.45/x
  3. Step 3: Cross multiply
    7,491.92x = 11,238.14 × 2,811.45
  4. Step 4: Simplify right side
    7,491.92x = 31,595,468.70
  5. Step 5: Solve for x
    x = 31,595,468.70/7,491.92
  6. Step 6: Final answer
    x = 4,217.27

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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.