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Finding the Fourth Proportional to 12,578.44, 18,855.42 and 7,034.44

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Solution

The fourth proportional to 12,578.44, 18,855.42 and 7,034.44 is: 10,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.44 : 18,855.42 = 7,034.44 : x
  2. Step 2: Convert to fraction form
    12,578.44/18,855.42 = 7,034.44/x
  3. Step 3: Cross multiply
    12,578.44x = 18,855.42 × 7,034.44
  4. Step 4: Simplify right side
    12,578.44x = 132,637,320.66
  5. Step 5: Solve for x
    x = 132,637,320.66/12,578.44
  6. Step 6: Final answer
    x = 10,544.81

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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.