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Finding the Fourth Proportional to 12,509.87, 18,764.79 and 3,149.97

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Solution

The fourth proportional to 12,509.87, 18,764.79 and 3,149.97 is: 4,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.87 : 18,764.79 = 3,149.97 : x
  2. Step 2: Convert to fraction form
    12,509.87/18,764.79 = 3,149.97/x
  3. Step 3: Cross multiply
    12,509.87x = 18,764.79 × 3,149.97
  4. Step 4: Simplify right side
    12,509.87x = 59,108,525.56
  5. Step 5: Solve for x
    x = 59,108,525.56/12,509.87
  6. Step 6: Final answer
    x = 4,724.95

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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.