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Finding the Fourth Proportional to 27,773.84, 41,660.76 and 12,191.60

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Solution

The fourth proportional to 27,773.84, 41,660.76 and 12,191.60 is: 18,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.84 : 41,660.76 = 12,191.60 : x
  2. Step 2: Convert to fraction form
    27,773.84/41,660.76 = 12,191.60/x
  3. Step 3: Cross multiply
    27,773.84x = 41,660.76 × 12,191.60
  4. Step 4: Simplify right side
    27,773.84x = 507,911,321.62
  5. Step 5: Solve for x
    x = 507,911,321.62/27,773.84
  6. Step 6: Final answer
    x = 18,287.40

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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.