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Finding the Fourth Proportional to 8,653.13, 12,978.17 and 3,968.09

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Solution

The fourth proportional to 8,653.13, 12,978.17 and 3,968.09 is: 5,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.13 : 12,978.17 = 3,968.09 : x
  2. Step 2: Convert to fraction form
    8,653.13/12,978.17 = 3,968.09/x
  3. Step 3: Cross multiply
    8,653.13x = 12,978.17 × 3,968.09
  4. Step 4: Simplify right side
    8,653.13x = 51,498,461.86
  5. Step 5: Solve for x
    x = 51,498,461.86/8,653.13
  6. Step 6: Final answer
    x = 5,951.43

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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.