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Finding the Fourth Proportional to 12,200.66, 16,835.64 and 6,822.80

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Solution

The fourth proportional to 12,200.66, 16,835.64 and 6,822.80 is: 9,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.66 : 16,835.64 = 6,822.80 : x
  2. Step 2: Convert to fraction form
    12,200.66/16,835.64 = 6,822.80/x
  3. Step 3: Cross multiply
    12,200.66x = 16,835.64 × 6,822.80
  4. Step 4: Simplify right side
    12,200.66x = 114,866,204.59
  5. Step 5: Solve for x
    x = 114,866,204.59/12,200.66
  6. Step 6: Final answer
    x = 9,414.75

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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.