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Finding the Fourth Proportional to 3,491.75, 4,819.89 and 2,313.20

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Solution

The fourth proportional to 3,491.75, 4,819.89 and 2,313.20 is: 3,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.75 : 4,819.89 = 2,313.20 : x
  2. Step 2: Convert to fraction form
    3,491.75/4,819.89 = 2,313.20/x
  3. Step 3: Cross multiply
    3,491.75x = 4,819.89 × 2,313.20
  4. Step 4: Simplify right side
    3,491.75x = 11,149,345.45
  5. Step 5: Solve for x
    x = 11,149,345.45/3,491.75
  6. Step 6: Final answer
    x = 3,193.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.