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Finding the Fourth Proportional to 12,176.42, 18,227.63 and 7,796.95

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Solution

The fourth proportional to 12,176.42, 18,227.63 and 7,796.95 is: 11,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.42 : 18,227.63 = 7,796.95 : x
  2. Step 2: Convert to fraction form
    12,176.42/18,227.63 = 7,796.95/x
  3. Step 3: Cross multiply
    12,176.42x = 18,227.63 × 7,796.95
  4. Step 4: Simplify right side
    12,176.42x = 142,119,893.65
  5. Step 5: Solve for x
    x = 142,119,893.65/12,176.42
  6. Step 6: Final answer
    x = 11,671.74

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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.