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Finding the Fourth Proportional to 5,209.16, 7,819.14 and 3,489.80

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Solution

The fourth proportional to 5,209.16, 7,819.14 and 3,489.80 is: 5,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.16 : 7,819.14 = 3,489.80 : x
  2. Step 2: Convert to fraction form
    5,209.16/7,819.14 = 3,489.80/x
  3. Step 3: Cross multiply
    5,209.16x = 7,819.14 × 3,489.80
  4. Step 4: Simplify right side
    5,209.16x = 27,287,234.77
  5. Step 5: Solve for x
    x = 27,287,234.77/5,209.16
  6. Step 6: Final answer
    x = 5,238.32

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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.