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Finding the Fourth Proportional to 8,270.52, 12,398.49 and 3,072.75

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Solution

The fourth proportional to 8,270.52, 12,398.49 and 3,072.75 is: 4,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.52 : 12,398.49 = 3,072.75 : x
  2. Step 2: Convert to fraction form
    8,270.52/12,398.49 = 3,072.75/x
  3. Step 3: Cross multiply
    8,270.52x = 12,398.49 × 3,072.75
  4. Step 4: Simplify right side
    8,270.52x = 38,097,460.15
  5. Step 5: Solve for x
    x = 38,097,460.15/8,270.52
  6. Step 6: Final answer
    x = 4,606.42

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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.