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Finding the Fourth Proportional to 3,491.90, 4,819.56 and 2,214.96

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Solution

The fourth proportional to 3,491.90, 4,819.56 and 2,214.96 is: 3,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.90 : 4,819.56 = 2,214.96 : x
  2. Step 2: Convert to fraction form
    3,491.90/4,819.56 = 2,214.96/x
  3. Step 3: Cross multiply
    3,491.90x = 4,819.56 × 2,214.96
  4. Step 4: Simplify right side
    3,491.90x = 10,675,132.62
  5. Step 5: Solve for x
    x = 10,675,132.62/3,491.90
  6. Step 6: Final answer
    x = 3,057.11

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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.