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Finding the Fourth Proportional to 12,193.20, 16,815.06 and 8,410.32

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Solution

The fourth proportional to 12,193.20, 16,815.06 and 8,410.32 is: 11,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.20 : 16,815.06 = 8,410.32 : x
  2. Step 2: Convert to fraction form
    12,193.20/16,815.06 = 8,410.32/x
  3. Step 3: Cross multiply
    12,193.20x = 16,815.06 × 8,410.32
  4. Step 4: Simplify right side
    12,193.20x = 141,420,035.42
  5. Step 5: Solve for x
    x = 141,420,035.42/12,193.20
  6. Step 6: Final answer
    x = 11,598.27

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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.