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Finding the Fourth Proportional to 12,765, 19,150.38 and 3,999

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Solution

The fourth proportional to 12,765, 19,150.38 and 3,999 is: 5,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765 : 19,150.38 = 3,999 : x
  2. Step 2: Convert to fraction form
    12,765/19,150.38 = 3,999/x
  3. Step 3: Cross multiply
    12,765x = 19,150.38 × 3,999
  4. Step 4: Simplify right side
    12,765x = 76,582,369.62
  5. Step 5: Solve for x
    x = 76,582,369.62/12,765
  6. Step 6: Final answer
    x = 5,999.40

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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.