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Finding the Fourth Proportional to 16,086, 24,137.64 and 7,878

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Solution

The fourth proportional to 16,086, 24,137.64 and 7,878 is: 11,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086 : 24,137.64 = 7,878 : x
  2. Step 2: Convert to fraction form
    16,086/24,137.64 = 7,878/x
  3. Step 3: Cross multiply
    16,086x = 24,137.64 × 7,878
  4. Step 4: Simplify right side
    16,086x = 190,156,327.92
  5. Step 5: Solve for x
    x = 190,156,327.92/16,086
  6. Step 6: Final answer
    x = 11,821.23

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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.