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Finding the Fourth Proportional to 6,518.91, 9,781.11 and 2,819.25

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Solution

The fourth proportional to 6,518.91, 9,781.11 and 2,819.25 is: 4,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.91 : 9,781.11 = 2,819.25 : x
  2. Step 2: Convert to fraction form
    6,518.91/9,781.11 = 2,819.25/x
  3. Step 3: Cross multiply
    6,518.91x = 9,781.11 × 2,819.25
  4. Step 4: Simplify right side
    6,518.91x = 27,575,394.37
  5. Step 5: Solve for x
    x = 27,575,394.37/6,518.91
  6. Step 6: Final answer
    x = 4,230.06

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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.