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Finding the Fourth Proportional to 8,185.68, 12,288.06 and 4,029.12

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Solution

The fourth proportional to 8,185.68, 12,288.06 and 4,029.12 is: 6,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.68 : 12,288.06 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    8,185.68/12,288.06 = 4,029.12/x
  3. Step 3: Cross multiply
    8,185.68x = 12,288.06 × 4,029.12
  4. Step 4: Simplify right side
    8,185.68x = 49,510,068.31
  5. Step 5: Solve for x
    x = 49,510,068.31/8,185.68
  6. Step 6: Final answer
    x = 6,048.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.