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Finding the Fourth Proportional to 11,912.80, 17,869.20 and 5,339.20

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Solution

The fourth proportional to 11,912.80, 17,869.20 and 5,339.20 is: 8,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.80 : 17,869.20 = 5,339.20 : x
  2. Step 2: Convert to fraction form
    11,912.80/17,869.20 = 5,339.20/x
  3. Step 3: Cross multiply
    11,912.80x = 17,869.20 × 5,339.20
  4. Step 4: Simplify right side
    11,912.80x = 95,407,232.64
  5. Step 5: Solve for x
    x = 95,407,232.64/11,912.80
  6. Step 6: Final answer
    x = 8,008.80

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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.