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Finding the Fourth Proportional to 12,238.32, 16,891.61 and 6,936.06

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Solution

The fourth proportional to 12,238.32, 16,891.61 and 6,936.06 is: 9,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.32 : 16,891.61 = 6,936.06 : x
  2. Step 2: Convert to fraction form
    12,238.32/16,891.61 = 6,936.06/x
  3. Step 3: Cross multiply
    12,238.32x = 16,891.61 × 6,936.06
  4. Step 4: Simplify right side
    12,238.32x = 117,161,220.46
  5. Step 5: Solve for x
    x = 117,161,220.46/12,238.32
  6. Step 6: Final answer
    x = 9,573.31

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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.