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Finding the Fourth Proportional to 12,238.29, 16,889.31 and 6,649.29

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Solution

The fourth proportional to 12,238.29, 16,889.31 and 6,649.29 is: 9,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.29 : 16,889.31 = 6,649.29 : x
  2. Step 2: Convert to fraction form
    12,238.29/16,889.31 = 6,649.29/x
  3. Step 3: Cross multiply
    12,238.29x = 16,889.31 × 6,649.29
  4. Step 4: Simplify right side
    12,238.29x = 112,301,920.09
  5. Step 5: Solve for x
    x = 112,301,920.09/12,238.29
  6. Step 6: Final answer
    x = 9,176.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.