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Finding the Fourth Proportional to 8,097.28, 12,144.20 and 3,415.48

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Solution

The fourth proportional to 8,097.28, 12,144.20 and 3,415.48 is: 5,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.28 : 12,144.20 = 3,415.48 : x
  2. Step 2: Convert to fraction form
    8,097.28/12,144.20 = 3,415.48/x
  3. Step 3: Cross multiply
    8,097.28x = 12,144.20 × 3,415.48
  4. Step 4: Simplify right side
    8,097.28x = 41,478,224.78
  5. Step 5: Solve for x
    x = 41,478,224.78/8,097.28
  6. Step 6: Final answer
    x = 5,122.49

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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.