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Finding the Fourth Proportional to 12,659.90, 18,992.49 and 6,338.06

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Solution

The fourth proportional to 12,659.90, 18,992.49 and 6,338.06 is: 9,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.90 : 18,992.49 = 6,338.06 : x
  2. Step 2: Convert to fraction form
    12,659.90/18,992.49 = 6,338.06/x
  3. Step 3: Cross multiply
    12,659.90x = 18,992.49 × 6,338.06
  4. Step 4: Simplify right side
    12,659.90x = 120,375,541.17
  5. Step 5: Solve for x
    x = 120,375,541.17/12,659.90
  6. Step 6: Final answer
    x = 9,508.41

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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.