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Finding the Fourth Proportional to 12,855.33, 17,741.66 and 7,819.90

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Solution

The fourth proportional to 12,855.33, 17,741.66 and 7,819.90 is: 10,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.33 : 17,741.66 = 7,819.90 : x
  2. Step 2: Convert to fraction form
    12,855.33/17,741.66 = 7,819.90/x
  3. Step 3: Cross multiply
    12,855.33x = 17,741.66 × 7,819.90
  4. Step 4: Simplify right side
    12,855.33x = 138,738,007.03
  5. Step 5: Solve for x
    x = 138,738,007.03/12,855.33
  6. Step 6: Final answer
    x = 10,792.26

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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.