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Finding the Fourth Proportional to 12,193.27, 16,826.47 and 6,815.68

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Solution

The fourth proportional to 12,193.27, 16,826.47 and 6,815.68 is: 9,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.27 : 16,826.47 = 6,815.68 : x
  2. Step 2: Convert to fraction form
    12,193.27/16,826.47 = 6,815.68/x
  3. Step 3: Cross multiply
    12,193.27x = 16,826.47 × 6,815.68
  4. Step 4: Simplify right side
    12,193.27x = 114,683,775.94
  5. Step 5: Solve for x
    x = 114,683,775.94/12,193.27
  6. Step 6: Final answer
    x = 9,405.50

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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.