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Finding the Fourth Proportional to 7,175.96, 10,759.78 and 2,788.28

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Solution

The fourth proportional to 7,175.96, 10,759.78 and 2,788.28 is: 4,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.96 : 10,759.78 = 2,788.28 : x
  2. Step 2: Convert to fraction form
    7,175.96/10,759.78 = 2,788.28/x
  3. Step 3: Cross multiply
    7,175.96x = 10,759.78 × 2,788.28
  4. Step 4: Simplify right side
    7,175.96x = 30,001,279.38
  5. Step 5: Solve for x
    x = 30,001,279.38/7,175.96
  6. Step 6: Final answer
    x = 4,180.80

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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.