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Finding the Fourth Proportional to 16,120, 24,180 and 5,731.75

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Solution

The fourth proportional to 16,120, 24,180 and 5,731.75 is: 8,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 24,180 = 5,731.75 : x
  2. Step 2: Convert to fraction form
    16,120/24,180 = 5,731.75/x
  3. Step 3: Cross multiply
    16,120x = 24,180 × 5,731.75
  4. Step 4: Simplify right side
    16,120x = 138,593,715
  5. Step 5: Solve for x
    x = 138,593,715/16,120
  6. Step 6: Final answer
    x = 8,597.63

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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.