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Finding the Fourth Proportional to 12,529.94, 18,788.42 and 3,763.71

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Solution

The fourth proportional to 12,529.94, 18,788.42 and 3,763.71 is: 5,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.94 : 18,788.42 = 3,763.71 : x
  2. Step 2: Convert to fraction form
    12,529.94/18,788.42 = 3,763.71/x
  3. Step 3: Cross multiply
    12,529.94x = 18,788.42 × 3,763.71
  4. Step 4: Simplify right side
    12,529.94x = 70,714,173.65
  5. Step 5: Solve for x
    x = 70,714,173.65/12,529.94
  6. Step 6: Final answer
    x = 5,643.62

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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.