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Finding the Fourth Proportional to 11,936.90, 16,471.09 and 6,900.14

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Solution

The fourth proportional to 11,936.90, 16,471.09 and 6,900.14 is: 9,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.90 : 16,471.09 = 6,900.14 : x
  2. Step 2: Convert to fraction form
    11,936.90/16,471.09 = 6,900.14/x
  3. Step 3: Cross multiply
    11,936.90x = 16,471.09 × 6,900.14
  4. Step 4: Simplify right side
    11,936.90x = 113,652,826.95
  5. Step 5: Solve for x
    x = 113,652,826.95/11,936.90
  6. Step 6: Final answer
    x = 9,521.13

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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.