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Finding the Fourth Proportional to 12,185.80, 18,283.90 and 5,951.32

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Solution

The fourth proportional to 12,185.80, 18,283.90 and 5,951.32 is: 8,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.80 : 18,283.90 = 5,951.32 : x
  2. Step 2: Convert to fraction form
    12,185.80/18,283.90 = 5,951.32/x
  3. Step 3: Cross multiply
    12,185.80x = 18,283.90 × 5,951.32
  4. Step 4: Simplify right side
    12,185.80x = 108,813,339.75
  5. Step 5: Solve for x
    x = 108,813,339.75/12,185.80
  6. Step 6: Final answer
    x = 8,929.52

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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.