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Finding the Fourth Proportional to 12,196.11, 16,830.97 and 6,890.82

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Solution

The fourth proportional to 12,196.11, 16,830.97 and 6,890.82 is: 9,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.11 : 16,830.97 = 6,890.82 : x
  2. Step 2: Convert to fraction form
    12,196.11/16,830.97 = 6,890.82/x
  3. Step 3: Cross multiply
    12,196.11x = 16,830.97 × 6,890.82
  4. Step 4: Simplify right side
    12,196.11x = 115,979,184.70
  5. Step 5: Solve for x
    x = 115,979,184.70/12,196.11
  6. Step 6: Final answer
    x = 9,509.52

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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.