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Finding the Fourth Proportional to 18,720, 25,833.60 and 12,096

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Solution

The fourth proportional to 18,720, 25,833.60 and 12,096 is: 16,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,720 : 25,833.60 = 12,096 : x
  2. Step 2: Convert to fraction form
    18,720/25,833.60 = 12,096/x
  3. Step 3: Cross multiply
    18,720x = 25,833.60 × 12,096
  4. Step 4: Simplify right side
    18,720x = 312,483,225.60
  5. Step 5: Solve for x
    x = 312,483,225.60/18,720
  6. Step 6: Final answer
    x = 16,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.