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Finding the Fourth Proportional to 12,758.36, 19,137.90 and 3,524.36

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Solution

The fourth proportional to 12,758.36, 19,137.90 and 3,524.36 is: 5,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.36 : 19,137.90 = 3,524.36 : x
  2. Step 2: Convert to fraction form
    12,758.36/19,137.90 = 3,524.36/x
  3. Step 3: Cross multiply
    12,758.36x = 19,137.90 × 3,524.36
  4. Step 4: Simplify right side
    12,758.36x = 67,448,849.24
  5. Step 5: Solve for x
    x = 67,448,849.24/12,758.36
  6. Step 6: Final answer
    x = 5,286.64

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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.