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Finding the Fourth Proportional to 12,193.42, 16,826.56 and 6,815.87

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Solution

The fourth proportional to 12,193.42, 16,826.56 and 6,815.87 is: 9,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.42 : 16,826.56 = 6,815.87 : x
  2. Step 2: Convert to fraction form
    12,193.42/16,826.56 = 6,815.87/x
  3. Step 3: Cross multiply
    12,193.42x = 16,826.56 × 6,815.87
  4. Step 4: Simplify right side
    12,193.42x = 114,687,596.20
  5. Step 5: Solve for x
    x = 114,687,596.20/12,193.42
  6. Step 6: Final answer
    x = 9,405.70

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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.