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Finding the Fourth Proportional to 3,491.91, 5,236.04 and 2,259.90

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Solution

The fourth proportional to 3,491.91, 5,236.04 and 2,259.90 is: 3,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.91 : 5,236.04 = 2,259.90 : x
  2. Step 2: Convert to fraction form
    3,491.91/5,236.04 = 2,259.90/x
  3. Step 3: Cross multiply
    3,491.91x = 5,236.04 × 2,259.90
  4. Step 4: Simplify right side
    3,491.91x = 11,832,932.45
  5. Step 5: Solve for x
    x = 11,832,932.45/3,491.91
  6. Step 6: Final answer
    x = 3,388.67

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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.