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Finding the Fourth Proportional to 12,482.39, 18,731.64 and 8,039.59

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Solution

The fourth proportional to 12,482.39, 18,731.64 and 8,039.59 is: 12,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.39 : 18,731.64 = 8,039.59 : x
  2. Step 2: Convert to fraction form
    12,482.39/18,731.64 = 8,039.59/x
  3. Step 3: Cross multiply
    12,482.39x = 18,731.64 × 8,039.59
  4. Step 4: Simplify right side
    12,482.39x = 150,594,665.43
  5. Step 5: Solve for x
    x = 150,594,665.43/12,482.39
  6. Step 6: Final answer
    x = 12,064.57

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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.