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Finding the Fourth Proportional to 12,137.88, 18,198.78 and 4,743.04

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Solution

The fourth proportional to 12,137.88, 18,198.78 and 4,743.04 is: 7,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.88 : 18,198.78 = 4,743.04 : x
  2. Step 2: Convert to fraction form
    12,137.88/18,198.78 = 4,743.04/x
  3. Step 3: Cross multiply
    12,137.88x = 18,198.78 × 4,743.04
  4. Step 4: Simplify right side
    12,137.88x = 86,317,541.49
  5. Step 5: Solve for x
    x = 86,317,541.49/12,137.88
  6. Step 6: Final answer
    x = 7,111.42

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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.