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Finding the Fourth Proportional to 8,121.78, 12,175.36 and 2,924

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Solution

The fourth proportional to 8,121.78, 12,175.36 and 2,924 is: 4,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.78 : 12,175.36 = 2,924 : x
  2. Step 2: Convert to fraction form
    8,121.78/12,175.36 = 2,924/x
  3. Step 3: Cross multiply
    8,121.78x = 12,175.36 × 2,924
  4. Step 4: Simplify right side
    8,121.78x = 35,600,752.64
  5. Step 5: Solve for x
    x = 35,600,752.64/8,121.78
  6. Step 6: Final answer
    x = 4,383.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.